Home / 1,154.86-1,731.17-424.24

Finding the Fourth Proportional to 1,154.86, 1,731.17 and 424.24

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Solution

The fourth proportional to 1,154.86, 1,731.17 and 424.24 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,731.17 = 424.24 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,731.17 = 424.24/x
  3. Step 3: Cross multiply
    1,154.86x = 1,731.17 × 424.24
  4. Step 4: Simplify right side
    1,154.86x = 734,428.29
  5. Step 5: Solve for x
    x = 734,428.29/1,154.86
  6. Step 6: Final answer
    x = 635.95

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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.