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Finding the Fourth Proportional to 477.28, 714.84 and 454.96

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Solution

The fourth proportional to 477.28, 714.84 and 454.96 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 714.84 = 454.96 : x
  2. Step 2: Convert to fraction form
    477.28/714.84 = 454.96/x
  3. Step 3: Cross multiply
    477.28x = 714.84 × 454.96
  4. Step 4: Simplify right side
    477.28x = 325,223.61
  5. Step 5: Solve for x
    x = 325,223.61/477.28
  6. Step 6: Final answer
    x = 681.41

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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.