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Finding the Fourth Proportional to 424.68, 588.70 and 417.09

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Solution

The fourth proportional to 424.68, 588.70 and 417.09 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.68 : 588.70 = 417.09 : x
  2. Step 2: Convert to fraction form
    424.68/588.70 = 417.09/x
  3. Step 3: Cross multiply
    424.68x = 588.70 × 417.09
  4. Step 4: Simplify right side
    424.68x = 245,540.88
  5. Step 5: Solve for x
    x = 245,540.88/424.68
  6. Step 6: Final answer
    x = 578.18

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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.