Home / 1,042.08-1,563.30-311.70

Finding the Fourth Proportional to 1,042.08, 1,563.30 and 311.70

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Solution

The fourth proportional to 1,042.08, 1,563.30 and 311.70 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.08 : 1,563.30 = 311.70 : x
  2. Step 2: Convert to fraction form
    1,042.08/1,563.30 = 311.70/x
  3. Step 3: Cross multiply
    1,042.08x = 1,563.30 × 311.70
  4. Step 4: Simplify right side
    1,042.08x = 487,280.61
  5. Step 5: Solve for x
    x = 487,280.61/1,042.08
  6. Step 6: Final answer
    x = 467.60

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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.