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Finding the Fourth Proportional to 432.18, 645.62 and 424.89

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Solution

The fourth proportional to 432.18, 645.62 and 424.89 is: 634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.18 : 645.62 = 424.89 : x
  2. Step 2: Convert to fraction form
    432.18/645.62 = 424.89/x
  3. Step 3: Cross multiply
    432.18x = 645.62 × 424.89
  4. Step 4: Simplify right side
    432.18x = 274,315.36
  5. Step 5: Solve for x
    x = 274,315.36/432.18
  6. Step 6: Final answer
    x = 634.72

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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.