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Finding the Fourth Proportional to 1,042.19, 1,562.98 and 311.59

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Solution

The fourth proportional to 1,042.19, 1,562.98 and 311.59 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.19 : 1,562.98 = 311.59 : x
  2. Step 2: Convert to fraction form
    1,042.19/1,562.98 = 311.59/x
  3. Step 3: Cross multiply
    1,042.19x = 1,562.98 × 311.59
  4. Step 4: Simplify right side
    1,042.19x = 487,008.94
  5. Step 5: Solve for x
    x = 487,008.94/1,042.19
  6. Step 6: Final answer
    x = 467.29

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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.