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Finding the Fourth Proportional to 1,411.49, 1,947.75 and 781.95

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Solution

The fourth proportional to 1,411.49, 1,947.75 and 781.95 is: 1,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.49 : 1,947.75 = 781.95 : x
  2. Step 2: Convert to fraction form
    1,411.49/1,947.75 = 781.95/x
  3. Step 3: Cross multiply
    1,411.49x = 1,947.75 × 781.95
  4. Step 4: Simplify right side
    1,411.49x = 1,523,043.11
  5. Step 5: Solve for x
    x = 1,523,043.11/1,411.49
  6. Step 6: Final answer
    x = 1,079.04

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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.