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Finding the Fourth Proportional to 1,073.20, 1,609.80 and 342.85

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Solution

The fourth proportional to 1,073.20, 1,609.80 and 342.85 is: 514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.20 : 1,609.80 = 342.85 : x
  2. Step 2: Convert to fraction form
    1,073.20/1,609.80 = 342.85/x
  3. Step 3: Cross multiply
    1,073.20x = 1,609.80 × 342.85
  4. Step 4: Simplify right side
    1,073.20x = 551,919.93
  5. Step 5: Solve for x
    x = 551,919.93/1,073.20
  6. Step 6: Final answer
    x = 514.28

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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.