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Finding the Fourth Proportional to 424.85, 586.62 and 331.49

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Solution

The fourth proportional to 424.85, 586.62 and 331.49 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.85 : 586.62 = 331.49 : x
  2. Step 2: Convert to fraction form
    424.85/586.62 = 331.49/x
  3. Step 3: Cross multiply
    424.85x = 586.62 × 331.49
  4. Step 4: Simplify right side
    424.85x = 194,460.13
  5. Step 5: Solve for x
    x = 194,460.13/424.85
  6. Step 6: Final answer
    x = 457.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.