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Finding the Fourth Proportional to 424.60, 633.41 and 387.88

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Solution

The fourth proportional to 424.60, 633.41 and 387.88 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 633.41 = 387.88 : x
  2. Step 2: Convert to fraction form
    424.60/633.41 = 387.88/x
  3. Step 3: Cross multiply
    424.60x = 633.41 × 387.88
  4. Step 4: Simplify right side
    424.60x = 245,687.07
  5. Step 5: Solve for x
    x = 245,687.07/424.60
  6. Step 6: Final answer
    x = 578.63

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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.