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Finding the Fourth Proportional to 432.68, 645.74 and 397.24

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Solution

The fourth proportional to 432.68, 645.74 and 397.24 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 645.74 = 397.24 : x
  2. Step 2: Convert to fraction form
    432.68/645.74 = 397.24/x
  3. Step 3: Cross multiply
    432.68x = 645.74 × 397.24
  4. Step 4: Simplify right side
    432.68x = 256,511.65
  5. Step 5: Solve for x
    x = 256,511.65/432.68
  6. Step 6: Final answer
    x = 592.85

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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.