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Finding the Fourth Proportional to 424.64, 588.50 and 412.22

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Solution

The fourth proportional to 424.64, 588.50 and 412.22 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.64 : 588.50 = 412.22 : x
  2. Step 2: Convert to fraction form
    424.64/588.50 = 412.22/x
  3. Step 3: Cross multiply
    424.64x = 588.50 × 412.22
  4. Step 4: Simplify right side
    424.64x = 242,591.47
  5. Step 5: Solve for x
    x = 242,591.47/424.64
  6. Step 6: Final answer
    x = 571.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.