Home / 1,042.20-1,563.58-311.72

Finding the Fourth Proportional to 1,042.20, 1,563.58 and 311.72

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Solution

The fourth proportional to 1,042.20, 1,563.58 and 311.72 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.20 : 1,563.58 = 311.72 : x
  2. Step 2: Convert to fraction form
    1,042.20/1,563.58 = 311.72/x
  3. Step 3: Cross multiply
    1,042.20x = 1,563.58 × 311.72
  4. Step 4: Simplify right side
    1,042.20x = 487,399.16
  5. Step 5: Solve for x
    x = 487,399.16/1,042.20
  6. Step 6: Final answer
    x = 467.66

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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.