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Finding the Fourth Proportional to 1,042.46, 1,563.40 and 349.14

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Solution

The fourth proportional to 1,042.46, 1,563.40 and 349.14 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.46 : 1,563.40 = 349.14 : x
  2. Step 2: Convert to fraction form
    1,042.46/1,563.40 = 349.14/x
  3. Step 3: Cross multiply
    1,042.46x = 1,563.40 × 349.14
  4. Step 4: Simplify right side
    1,042.46x = 545,845.48
  5. Step 5: Solve for x
    x = 545,845.48/1,042.46
  6. Step 6: Final answer
    x = 523.61

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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.