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Finding the Fourth Proportional to 1,240.52, 1,862.39 and 778.82

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Solution

The fourth proportional to 1,240.52, 1,862.39 and 778.82 is: 1,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.52 : 1,862.39 = 778.82 : x
  2. Step 2: Convert to fraction form
    1,240.52/1,862.39 = 778.82/x
  3. Step 3: Cross multiply
    1,240.52x = 1,862.39 × 778.82
  4. Step 4: Simplify right side
    1,240.52x = 1,450,459.21
  5. Step 5: Solve for x
    x = 1,450,459.21/1,240.52
  6. Step 6: Final answer
    x = 1,169.24

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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.