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Finding the Fourth Proportional to 424.08, 632.39 and 390.42

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Solution

The fourth proportional to 424.08, 632.39 and 390.42 is: 582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 632.39 = 390.42 : x
  2. Step 2: Convert to fraction form
    424.08/632.39 = 390.42/x
  3. Step 3: Cross multiply
    424.08x = 632.39 × 390.42
  4. Step 4: Simplify right side
    424.08x = 246,895.75
  5. Step 5: Solve for x
    x = 246,895.75/424.08
  6. Step 6: Final answer
    x = 582.19

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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.