Home / 1,098.40-1,515.36-1,024.96

Finding the Fourth Proportional to 1,098.40, 1,515.36 and 1,024.96

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Solution

The fourth proportional to 1,098.40, 1,515.36 and 1,024.96 is: 1,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.40 : 1,515.36 = 1,024.96 : x
  2. Step 2: Convert to fraction form
    1,098.40/1,515.36 = 1,024.96/x
  3. Step 3: Cross multiply
    1,098.40x = 1,515.36 × 1,024.96
  4. Step 4: Simplify right side
    1,098.40x = 1,553,183.39
  5. Step 5: Solve for x
    x = 1,553,183.39/1,098.40
  6. Step 6: Final answer
    x = 1,414.04

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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.