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Finding the Fourth Proportional to 1,042.34, 1,562.20 and 493.43

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Solution

The fourth proportional to 1,042.34, 1,562.20 and 493.43 is: 739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,562.20 = 493.43 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,562.20 = 493.43/x
  3. Step 3: Cross multiply
    1,042.34x = 1,562.20 × 493.43
  4. Step 4: Simplify right side
    1,042.34x = 770,827.30
  5. Step 5: Solve for x
    x = 770,827.30/1,042.34
  6. Step 6: Final answer
    x = 739.52

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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.