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Finding the Fourth Proportional to 476.78, 714.59 and 232.74

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Solution

The fourth proportional to 476.78, 714.59 and 232.74 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 714.59 = 232.74 : x
  2. Step 2: Convert to fraction form
    476.78/714.59 = 232.74/x
  3. Step 3: Cross multiply
    476.78x = 714.59 × 232.74
  4. Step 4: Simplify right side
    476.78x = 166,313.68
  5. Step 5: Solve for x
    x = 166,313.68/476.78
  6. Step 6: Final answer
    x = 348.83

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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.