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Finding the Fourth Proportional to 424.13, 631.33 and 404.21

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Solution

The fourth proportional to 424.13, 631.33 and 404.21 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 631.33 = 404.21 : x
  2. Step 2: Convert to fraction form
    424.13/631.33 = 404.21/x
  3. Step 3: Cross multiply
    424.13x = 631.33 × 404.21
  4. Step 4: Simplify right side
    424.13x = 255,190.47
  5. Step 5: Solve for x
    x = 255,190.47/424.13
  6. Step 6: Final answer
    x = 601.69

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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.