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Finding the Fourth Proportional to 1,146.84, 1,583.19 and 705.12

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Solution

The fourth proportional to 1,146.84, 1,583.19 and 705.12 is: 973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,583.19 = 705.12 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,583.19 = 705.12/x
  3. Step 3: Cross multiply
    1,146.84x = 1,583.19 × 705.12
  4. Step 4: Simplify right side
    1,146.84x = 1,116,338.93
  5. Step 5: Solve for x
    x = 1,116,338.93/1,146.84
  6. Step 6: Final answer
    x = 973.40

Related Problems

Find fourth proportional to 573.42, 791.60 and 352.56
Half scale
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Double scale
Find fourth proportional to 1,147.84, 1,584.57 and 706.12
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.