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Finding the Fourth Proportional to 1,248.70, 1,872.15 and 816.10

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Solution

The fourth proportional to 1,248.70, 1,872.15 and 816.10 is: 1,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.70 : 1,872.15 = 816.10 : x
  2. Step 2: Convert to fraction form
    1,248.70/1,872.15 = 816.10/x
  3. Step 3: Cross multiply
    1,248.70x = 1,872.15 × 816.10
  4. Step 4: Simplify right side
    1,248.70x = 1,527,861.62
  5. Step 5: Solve for x
    x = 1,527,861.62/1,248.70
  6. Step 6: Final answer
    x = 1,223.56

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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.