Home / 1,042.30-1,563.68-311.95

Finding the Fourth Proportional to 1,042.30, 1,563.68 and 311.95

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Solution

The fourth proportional to 1,042.30, 1,563.68 and 311.95 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.30 : 1,563.68 = 311.95 : x
  2. Step 2: Convert to fraction form
    1,042.30/1,563.68 = 311.95/x
  3. Step 3: Cross multiply
    1,042.30x = 1,563.68 × 311.95
  4. Step 4: Simplify right side
    1,042.30x = 487,789.98
  5. Step 5: Solve for x
    x = 487,789.98/1,042.30
  6. Step 6: Final answer
    x = 467.99

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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.