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Finding the Fourth Proportional to 1,275.71, 1,913.57 and 842.77

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Solution

The fourth proportional to 1,275.71, 1,913.57 and 842.77 is: 1,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.71 : 1,913.57 = 842.77 : x
  2. Step 2: Convert to fraction form
    1,275.71/1,913.57 = 842.77/x
  3. Step 3: Cross multiply
    1,275.71x = 1,913.57 × 842.77
  4. Step 4: Simplify right side
    1,275.71x = 1,612,685.61
  5. Step 5: Solve for x
    x = 1,612,685.61/1,275.71
  6. Step 6: Final answer
    x = 1,264.15

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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.