Home / 1,155.47-1,731.78-424.24

Finding the Fourth Proportional to 1,155.47, 1,731.78 and 424.24

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Solution

The fourth proportional to 1,155.47, 1,731.78 and 424.24 is: 635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.47 : 1,731.78 = 424.24 : x
  2. Step 2: Convert to fraction form
    1,155.47/1,731.78 = 424.24/x
  3. Step 3: Cross multiply
    1,155.47x = 1,731.78 × 424.24
  4. Step 4: Simplify right side
    1,155.47x = 734,686.02
  5. Step 5: Solve for x
    x = 734,686.02/1,155.47
  6. Step 6: Final answer
    x = 635.84

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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.