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Finding the Fourth Proportional to 1,124.97, 1,687.86 and 816.30

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Solution

The fourth proportional to 1,124.97, 1,687.86 and 816.30 is: 1,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.97 : 1,687.86 = 816.30 : x
  2. Step 2: Convert to fraction form
    1,124.97/1,687.86 = 816.30/x
  3. Step 3: Cross multiply
    1,124.97x = 1,687.86 × 816.30
  4. Step 4: Simplify right side
    1,124.97x = 1,377,800.12
  5. Step 5: Solve for x
    x = 1,377,800.12/1,124.97
  6. Step 6: Final answer
    x = 1,224.74

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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.