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Finding the Fourth Proportional to 1,115.80, 1,539.75 and 716.92

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Solution

The fourth proportional to 1,115.80, 1,539.75 and 716.92 is: 989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.80 : 1,539.75 = 716.92 : x
  2. Step 2: Convert to fraction form
    1,115.80/1,539.75 = 716.92/x
  3. Step 3: Cross multiply
    1,115.80x = 1,539.75 × 716.92
  4. Step 4: Simplify right side
    1,115.80x = 1,103,877.57
  5. Step 5: Solve for x
    x = 1,103,877.57/1,115.80
  6. Step 6: Final answer
    x = 989.31

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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.