Home / 1,154.19-1,731.28-288.50

Finding the Fourth Proportional to 1,154.19, 1,731.28 and 288.50

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Solution

The fourth proportional to 1,154.19, 1,731.28 and 288.50 is: 432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.19 : 1,731.28 = 288.50 : x
  2. Step 2: Convert to fraction form
    1,154.19/1,731.28 = 288.50/x
  3. Step 3: Cross multiply
    1,154.19x = 1,731.28 × 288.50
  4. Step 4: Simplify right side
    1,154.19x = 499,472.84
  5. Step 5: Solve for x
    x = 499,472.84/1,154.19
  6. Step 6: Final answer
    x = 432.75

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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.