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Finding the Fourth Proportional to 1,098.87, 1,515.71 and 766.87

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Solution

The fourth proportional to 1,098.87, 1,515.71 and 766.87 is: 1,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.87 : 1,515.71 = 766.87 : x
  2. Step 2: Convert to fraction form
    1,098.87/1,515.71 = 766.87/x
  3. Step 3: Cross multiply
    1,098.87x = 1,515.71 × 766.87
  4. Step 4: Simplify right side
    1,098.87x = 1,162,350.66
  5. Step 5: Solve for x
    x = 1,162,350.66/1,098.87
  6. Step 6: Final answer
    x = 1,057.77

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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.