Home / 1,042.30-1,563.76-311.90

Finding the Fourth Proportional to 1,042.30, 1,563.76 and 311.90

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Solution

The fourth proportional to 1,042.30, 1,563.76 and 311.90 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.30 : 1,563.76 = 311.90 : x
  2. Step 2: Convert to fraction form
    1,042.30/1,563.76 = 311.90/x
  3. Step 3: Cross multiply
    1,042.30x = 1,563.76 × 311.90
  4. Step 4: Simplify right side
    1,042.30x = 487,736.74
  5. Step 5: Solve for x
    x = 487,736.74/1,042.30
  6. Step 6: Final answer
    x = 467.94

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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.