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Finding the Fourth Proportional to 1,244.08, 1,862.84 and 779.92

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Solution

The fourth proportional to 1,244.08, 1,862.84 and 779.92 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.08 : 1,862.84 = 779.92 : x
  2. Step 2: Convert to fraction form
    1,244.08/1,862.84 = 779.92/x
  3. Step 3: Cross multiply
    1,244.08x = 1,862.84 × 779.92
  4. Step 4: Simplify right side
    1,244.08x = 1,452,866.17
  5. Step 5: Solve for x
    x = 1,452,866.17/1,244.08
  6. Step 6: Final answer
    x = 1,167.82

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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.