Home / 1,154.50-1,731.38-461.36

Finding the Fourth Proportional to 1,154.50, 1,731.38 and 461.36

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Solution

The fourth proportional to 1,154.50, 1,731.38 and 461.36 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.50 : 1,731.38 = 461.36 : x
  2. Step 2: Convert to fraction form
    1,154.50/1,731.38 = 461.36/x
  3. Step 3: Cross multiply
    1,154.50x = 1,731.38 × 461.36
  4. Step 4: Simplify right side
    1,154.50x = 798,789.48
  5. Step 5: Solve for x
    x = 798,789.48/1,154.50
  6. Step 6: Final answer
    x = 691.89

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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.