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Finding the Fourth Proportional to 714.29, 985.57 and 477.97

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Solution

The fourth proportional to 714.29, 985.57 and 477.97 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 985.57 = 477.97 : x
  2. Step 2: Convert to fraction form
    714.29/985.57 = 477.97/x
  3. Step 3: Cross multiply
    714.29x = 985.57 × 477.97
  4. Step 4: Simplify right side
    714.29x = 471,069.23
  5. Step 5: Solve for x
    x = 471,069.23/714.29
  6. Step 6: Final answer
    x = 659.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.