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Finding the Fourth Proportional to 1,082.55, 1,624.17 and 424.41

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Solution

The fourth proportional to 1,082.55, 1,624.17 and 424.41 is: 636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.55 : 1,624.17 = 424.41 : x
  2. Step 2: Convert to fraction form
    1,082.55/1,624.17 = 424.41/x
  3. Step 3: Cross multiply
    1,082.55x = 1,624.17 × 424.41
  4. Step 4: Simplify right side
    1,082.55x = 689,309.49
  5. Step 5: Solve for x
    x = 689,309.49/1,082.55
  6. Step 6: Final answer
    x = 636.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.