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Finding the Fourth Proportional to 424.80, 587.52 and 402.12

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Solution

The fourth proportional to 424.80, 587.52 and 402.12 is: 556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.80 : 587.52 = 402.12 : x
  2. Step 2: Convert to fraction form
    424.80/587.52 = 402.12/x
  3. Step 3: Cross multiply
    424.80x = 587.52 × 402.12
  4. Step 4: Simplify right side
    424.80x = 236,253.54
  5. Step 5: Solve for x
    x = 236,253.54/424.80
  6. Step 6: Final answer
    x = 556.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.