Home / 1,023.18-1,411.38-743.04

Finding the Fourth Proportional to 1,023.18, 1,411.38 and 743.04

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Solution

The fourth proportional to 1,023.18, 1,411.38 and 743.04 is: 1,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.18 : 1,411.38 = 743.04 : x
  2. Step 2: Convert to fraction form
    1,023.18/1,411.38 = 743.04/x
  3. Step 3: Cross multiply
    1,023.18x = 1,411.38 × 743.04
  4. Step 4: Simplify right side
    1,023.18x = 1,048,711.80
  5. Step 5: Solve for x
    x = 1,048,711.80/1,023.18
  6. Step 6: Final answer
    x = 1,024.95

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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.