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Finding the Fourth Proportional to 731.18, 1,007.70 and 710.12

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Solution

The fourth proportional to 731.18, 1,007.70 and 710.12 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.18 : 1,007.70 = 710.12 : x
  2. Step 2: Convert to fraction form
    731.18/1,007.70 = 710.12/x
  3. Step 3: Cross multiply
    731.18x = 1,007.70 × 710.12
  4. Step 4: Simplify right side
    731.18x = 715,587.92
  5. Step 5: Solve for x
    x = 715,587.92/731.18
  6. Step 6: Final answer
    x = 978.68

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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.