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Finding the Fourth Proportional to 1,073.19, 1,609.67 and 342.83

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Solution

The fourth proportional to 1,073.19, 1,609.67 and 342.83 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.19 : 1,609.67 = 342.83 : x
  2. Step 2: Convert to fraction form
    1,073.19/1,609.67 = 342.83/x
  3. Step 3: Cross multiply
    1,073.19x = 1,609.67 × 342.83
  4. Step 4: Simplify right side
    1,073.19x = 551,843.17
  5. Step 5: Solve for x
    x = 551,843.17/1,073.19
  6. Step 6: Final answer
    x = 514.21

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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.