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Finding the Fourth Proportional to 717.64, 1,070.57 and 610.12

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Solution

The fourth proportional to 717.64, 1,070.57 and 610.12 is: 910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.64 : 1,070.57 = 610.12 : x
  2. Step 2: Convert to fraction form
    717.64/1,070.57 = 610.12/x
  3. Step 3: Cross multiply
    717.64x = 1,070.57 × 610.12
  4. Step 4: Simplify right side
    717.64x = 653,176.17
  5. Step 5: Solve for x
    x = 653,176.17/717.64
  6. Step 6: Final answer
    x = 910.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.