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Finding the Fourth Proportional to 437.32, 650.52 and 432.91

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Solution

The fourth proportional to 437.32, 650.52 and 432.91 is: 643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.32 : 650.52 = 432.91 : x
  2. Step 2: Convert to fraction form
    437.32/650.52 = 432.91/x
  3. Step 3: Cross multiply
    437.32x = 650.52 × 432.91
  4. Step 4: Simplify right side
    437.32x = 281,616.61
  5. Step 5: Solve for x
    x = 281,616.61/437.32
  6. Step 6: Final answer
    x = 643.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.