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Finding the Fourth Proportional to 458.97, 691.76 and 432.51

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Solution

The fourth proportional to 458.97, 691.76 and 432.51 is: 651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.97 : 691.76 = 432.51 : x
  2. Step 2: Convert to fraction form
    458.97/691.76 = 432.51/x
  3. Step 3: Cross multiply
    458.97x = 691.76 × 432.51
  4. Step 4: Simplify right side
    458.97x = 299,190.96
  5. Step 5: Solve for x
    x = 299,190.96/458.97
  6. Step 6: Final answer
    x = 651.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.