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Finding the Fourth Proportional to 1,240.72, 1,861.17 and 418.72

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Solution

The fourth proportional to 1,240.72, 1,861.17 and 418.72 is: 628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.72 : 1,861.17 = 418.72 : x
  2. Step 2: Convert to fraction form
    1,240.72/1,861.17 = 418.72/x
  3. Step 3: Cross multiply
    1,240.72x = 1,861.17 × 418.72
  4. Step 4: Simplify right side
    1,240.72x = 779,309.10
  5. Step 5: Solve for x
    x = 779,309.10/1,240.72
  6. Step 6: Final answer
    x = 628.11

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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.