Home / 1,154.24-1,731.25-288.55

Finding the Fourth Proportional to 1,154.24, 1,731.25 and 288.55

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Solution

The fourth proportional to 1,154.24, 1,731.25 and 288.55 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.24 : 1,731.25 = 288.55 : x
  2. Step 2: Convert to fraction form
    1,154.24/1,731.25 = 288.55/x
  3. Step 3: Cross multiply
    1,154.24x = 1,731.25 × 288.55
  4. Step 4: Simplify right side
    1,154.24x = 499,552.19
  5. Step 5: Solve for x
    x = 499,552.19/1,154.24
  6. Step 6: Final answer
    x = 432.80

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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.