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Finding the Fourth Proportional to 1,166.76, 1,610.82 and 774.12

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Solution

The fourth proportional to 1,166.76, 1,610.82 and 774.12 is: 1,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.76 : 1,610.82 = 774.12 : x
  2. Step 2: Convert to fraction form
    1,166.76/1,610.82 = 774.12/x
  3. Step 3: Cross multiply
    1,166.76x = 1,610.82 × 774.12
  4. Step 4: Simplify right side
    1,166.76x = 1,246,967.98
  5. Step 5: Solve for x
    x = 1,246,967.98/1,166.76
  6. Step 6: Final answer
    x = 1,068.74

Related Problems

Find fourth proportional to 583.38, 805.41 and 387.06
Half scale
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Double scale
Find fourth proportional to 1,167.76, 1,612.20 and 775.12
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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.