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Finding the Fourth Proportional to 487.74, 672.82 and 291.22

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Solution

The fourth proportional to 487.74, 672.82 and 291.22 is: 401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.74 : 672.82 = 291.22 : x
  2. Step 2: Convert to fraction form
    487.74/672.82 = 291.22/x
  3. Step 3: Cross multiply
    487.74x = 672.82 × 291.22
  4. Step 4: Simplify right side
    487.74x = 195,937.87
  5. Step 5: Solve for x
    x = 195,937.87/487.74
  6. Step 6: Final answer
    x = 401.72

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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.