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Finding the Fourth Proportional to 717.12, 1,078.56 and 710.72

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Solution

The fourth proportional to 717.12, 1,078.56 and 710.72 is: 1,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.12 : 1,078.56 = 710.72 : x
  2. Step 2: Convert to fraction form
    717.12/1,078.56 = 710.72/x
  3. Step 3: Cross multiply
    717.12x = 1,078.56 × 710.72
  4. Step 4: Simplify right side
    717.12x = 766,554.16
  5. Step 5: Solve for x
    x = 766,554.16/717.12
  6. Step 6: Final answer
    x = 1,068.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.