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Finding the Fourth Proportional to 731.66, 1,010.96 and 705.38

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Solution

The fourth proportional to 731.66, 1,010.96 and 705.38 is: 974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.66 : 1,010.96 = 705.38 : x
  2. Step 2: Convert to fraction form
    731.66/1,010.96 = 705.38/x
  3. Step 3: Cross multiply
    731.66x = 1,010.96 × 705.38
  4. Step 4: Simplify right side
    731.66x = 713,111.57
  5. Step 5: Solve for x
    x = 713,111.57/731.66
  6. Step 6: Final answer
    x = 974.65

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Double scale
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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.