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Finding the Fourth Proportional to 477.39, 714.20 and 425.43

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Solution

The fourth proportional to 477.39, 714.20 and 425.43 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.39 : 714.20 = 425.43 : x
  2. Step 2: Convert to fraction form
    477.39/714.20 = 425.43/x
  3. Step 3: Cross multiply
    477.39x = 714.20 × 425.43
  4. Step 4: Simplify right side
    477.39x = 303,839.98
  5. Step 5: Solve for x
    x = 303,839.98/477.39
  6. Step 6: Final answer
    x = 636.46

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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.