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Finding the Fourth Proportional to 1,124.49, 1,687.59 and 780.24

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Solution

The fourth proportional to 1,124.49, 1,687.59 and 780.24 is: 1,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.49 : 1,687.59 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,124.49/1,687.59 = 780.24/x
  3. Step 3: Cross multiply
    1,124.49x = 1,687.59 × 780.24
  4. Step 4: Simplify right side
    1,124.49x = 1,316,725.22
  5. Step 5: Solve for x
    x = 1,316,725.22/1,124.49
  6. Step 6: Final answer
    x = 1,170.95

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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.