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Finding the Fourth Proportional to 487.71, 672.78 and 347.88

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Solution

The fourth proportional to 487.71, 672.78 and 347.88 is: 479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.71 : 672.78 = 347.88 : x
  2. Step 2: Convert to fraction form
    487.71/672.78 = 347.88/x
  3. Step 3: Cross multiply
    487.71x = 672.78 × 347.88
  4. Step 4: Simplify right side
    487.71x = 234,046.71
  5. Step 5: Solve for x
    x = 234,046.71/487.71
  6. Step 6: Final answer
    x = 479.89

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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.