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Finding the Fourth Proportional to 714.57, 1,071.17 and 385.16

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Solution

The fourth proportional to 714.57, 1,071.17 and 385.16 is: 577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.57 : 1,071.17 = 385.16 : x
  2. Step 2: Convert to fraction form
    714.57/1,071.17 = 385.16/x
  3. Step 3: Cross multiply
    714.57x = 1,071.17 × 385.16
  4. Step 4: Simplify right side
    714.57x = 412,568.17
  5. Step 5: Solve for x
    x = 412,568.17/714.57
  6. Step 6: Final answer
    x = 577.36

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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.