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Finding the Fourth Proportional to 487.53, 672.68 and 291

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Solution

The fourth proportional to 487.53, 672.68 and 291 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.53 : 672.68 = 291 : x
  2. Step 2: Convert to fraction form
    487.53/672.68 = 291/x
  3. Step 3: Cross multiply
    487.53x = 672.68 × 291
  4. Step 4: Simplify right side
    487.53x = 195,748.43
  5. Step 5: Solve for x
    x = 195,748.43/487.53
  6. Step 6: Final answer
    x = 401.51

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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.