Home / 1,149.52-1,724.10-380.02

Finding the Fourth Proportional to 1,149.52, 1,724.10 and 380.02

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Solution

The fourth proportional to 1,149.52, 1,724.10 and 380.02 is: 569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.52 : 1,724.10 = 380.02 : x
  2. Step 2: Convert to fraction form
    1,149.52/1,724.10 = 380.02/x
  3. Step 3: Cross multiply
    1,149.52x = 1,724.10 × 380.02
  4. Step 4: Simplify right side
    1,149.52x = 655,192.48
  5. Step 5: Solve for x
    x = 655,192.48/1,149.52
  6. Step 6: Final answer
    x = 569.97

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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.