Home / 1,154.80-1,731.17-424.20

Finding the Fourth Proportional to 1,154.80, 1,731.17 and 424.20

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Solution

The fourth proportional to 1,154.80, 1,731.17 and 424.20 is: 635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.80 : 1,731.17 = 424.20 : x
  2. Step 2: Convert to fraction form
    1,154.80/1,731.17 = 424.20/x
  3. Step 3: Cross multiply
    1,154.80x = 1,731.17 × 424.20
  4. Step 4: Simplify right side
    1,154.80x = 734,369.87
  5. Step 5: Solve for x
    x = 734,369.87/1,154.80
  6. Step 6: Final answer
    x = 635.93

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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.