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Finding the Fourth Proportional to 1,042.39, 1,563.60 and 311.99

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Solution

The fourth proportional to 1,042.39, 1,563.60 and 311.99 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.39 : 1,563.60 = 311.99 : x
  2. Step 2: Convert to fraction form
    1,042.39/1,563.60 = 311.99/x
  3. Step 3: Cross multiply
    1,042.39x = 1,563.60 × 311.99
  4. Step 4: Simplify right side
    1,042.39x = 487,827.56
  5. Step 5: Solve for x
    x = 487,827.56/1,042.39
  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.