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Finding the Fourth Proportional to 1,119.71, 1,543.50 and 787.61

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Solution

The fourth proportional to 1,119.71, 1,543.50 and 787.61 is: 1,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.71 : 1,543.50 = 787.61 : x
  2. Step 2: Convert to fraction form
    1,119.71/1,543.50 = 787.61/x
  3. Step 3: Cross multiply
    1,119.71x = 1,543.50 × 787.61
  4. Step 4: Simplify right side
    1,119.71x = 1,215,668.32
  5. Step 5: Solve for x
    x = 1,215,668.32/1,119.71
  6. Step 6: Final answer
    x = 1,085.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.