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Finding the Fourth Proportional to 432.88, 645.68 and 394

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Solution

The fourth proportional to 432.88, 645.68 and 394 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.88 : 645.68 = 394 : x
  2. Step 2: Convert to fraction form
    432.88/645.68 = 394/x
  3. Step 3: Cross multiply
    432.88x = 645.68 × 394
  4. Step 4: Simplify right side
    432.88x = 254,397.92
  5. Step 5: Solve for x
    x = 254,397.92/432.88
  6. Step 6: Final answer
    x = 587.69

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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.