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Finding the Fourth Proportional to 1,147.96, 1,583.34 and 774.76

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Solution

The fourth proportional to 1,147.96, 1,583.34 and 774.76 is: 1,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.96 : 1,583.34 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,147.96/1,583.34 = 774.76/x
  3. Step 3: Cross multiply
    1,147.96x = 1,583.34 × 774.76
  4. Step 4: Simplify right side
    1,147.96x = 1,226,708.50
  5. Step 5: Solve for x
    x = 1,226,708.50/1,147.96
  6. Step 6: Final answer
    x = 1,068.60

Related Problems

Find fourth proportional to 573.98, 791.67 and 387.38
Half scale
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Double scale
Find fourth proportional to 1,148.96, 1,584.72 and 775.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.