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Finding the Fourth Proportional to 432.97, 647.93 and 372.83

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Solution

The fourth proportional to 432.97, 647.93 and 372.83 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 647.93 = 372.83 : x
  2. Step 2: Convert to fraction form
    432.97/647.93 = 372.83/x
  3. Step 3: Cross multiply
    432.97x = 647.93 × 372.83
  4. Step 4: Simplify right side
    432.97x = 241,562.64
  5. Step 5: Solve for x
    x = 241,562.64/432.97
  6. Step 6: Final answer
    x = 557.93

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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.