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Finding the Fourth Proportional to 714.13, 985.91 and 478.41

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Solution

The fourth proportional to 714.13, 985.91 and 478.41 is: 660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.13 : 985.91 = 478.41 : x
  2. Step 2: Convert to fraction form
    714.13/985.91 = 478.41/x
  3. Step 3: Cross multiply
    714.13x = 985.91 × 478.41
  4. Step 4: Simplify right side
    714.13x = 471,669.20
  5. Step 5: Solve for x
    x = 471,669.20/714.13
  6. Step 6: Final answer
    x = 660.48

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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.