Home / 1,154.34-1,731.49-288.65

Finding the Fourth Proportional to 1,154.34, 1,731.49 and 288.65

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Solution

The fourth proportional to 1,154.34, 1,731.49 and 288.65 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.34 : 1,731.49 = 288.65 : x
  2. Step 2: Convert to fraction form
    1,154.34/1,731.49 = 288.65/x
  3. Step 3: Cross multiply
    1,154.34x = 1,731.49 × 288.65
  4. Step 4: Simplify right side
    1,154.34x = 499,794.59
  5. Step 5: Solve for x
    x = 499,794.59/1,154.34
  6. Step 6: Final answer
    x = 432.97

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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.