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Finding the Fourth Proportional to 486.34, 725.89 and 424.78

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Solution

The fourth proportional to 486.34, 725.89 and 424.78 is: 634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.34 : 725.89 = 424.78 : x
  2. Step 2: Convert to fraction form
    486.34/725.89 = 424.78/x
  3. Step 3: Cross multiply
    486.34x = 725.89 × 424.78
  4. Step 4: Simplify right side
    486.34x = 308,343.55
  5. Step 5: Solve for x
    x = 308,343.55/486.34
  6. Step 6: Final answer
    x = 634.01

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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.