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Finding the Fourth Proportional to 1,161.80, 1,744.05 and 613.70

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Solution

The fourth proportional to 1,161.80, 1,744.05 and 613.70 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.80 : 1,744.05 = 613.70 : x
  2. Step 2: Convert to fraction form
    1,161.80/1,744.05 = 613.70/x
  3. Step 3: Cross multiply
    1,161.80x = 1,744.05 × 613.70
  4. Step 4: Simplify right side
    1,161.80x = 1,070,323.49
  5. Step 5: Solve for x
    x = 1,070,323.49/1,161.80
  6. Step 6: Final answer
    x = 921.26

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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.