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Finding the Fourth Proportional to 715.17, 1,070.53 and 654.61

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Solution

The fourth proportional to 715.17, 1,070.53 and 654.61 is: 979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.17 : 1,070.53 = 654.61 : x
  2. Step 2: Convert to fraction form
    715.17/1,070.53 = 654.61/x
  3. Step 3: Cross multiply
    715.17x = 1,070.53 × 654.61
  4. Step 4: Simplify right side
    715.17x = 700,775.25
  5. Step 5: Solve for x
    x = 700,775.25/715.17
  6. Step 6: Final answer
    x = 979.88

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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.