Home / 1,042.18-1,563.24-311.77

Finding the Fourth Proportional to 1,042.18, 1,563.24 and 311.77

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Solution

The fourth proportional to 1,042.18, 1,563.24 and 311.77 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.18 : 1,563.24 = 311.77 : x
  2. Step 2: Convert to fraction form
    1,042.18/1,563.24 = 311.77/x
  3. Step 3: Cross multiply
    1,042.18x = 1,563.24 × 311.77
  4. Step 4: Simplify right side
    1,042.18x = 487,371.33
  5. Step 5: Solve for x
    x = 487,371.33/1,042.18
  6. Step 6: Final answer
    x = 467.65

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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.