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Finding the Fourth Proportional to 716.17, 1,068.49 and 638.20

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Solution

The fourth proportional to 716.17, 1,068.49 and 638.20 is: 952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.17 : 1,068.49 = 638.20 : x
  2. Step 2: Convert to fraction form
    716.17/1,068.49 = 638.20/x
  3. Step 3: Cross multiply
    716.17x = 1,068.49 × 638.20
  4. Step 4: Simplify right side
    716.17x = 681,907.13
  5. Step 5: Solve for x
    x = 681,907.13/716.17
  6. Step 6: Final answer
    x = 952.16

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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.