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Finding the Fourth Proportional to 424.32, 582.20 and 417.04

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Solution

The fourth proportional to 424.32, 582.20 and 417.04 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.32 : 582.20 = 417.04 : x
  2. Step 2: Convert to fraction form
    424.32/582.20 = 417.04/x
  3. Step 3: Cross multiply
    424.32x = 582.20 × 417.04
  4. Step 4: Simplify right side
    424.32x = 242,800.69
  5. Step 5: Solve for x
    x = 242,800.69/424.32
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.