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Finding the Fourth Proportional to 1,108.57, 1,529.84 and 611.23

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Solution

The fourth proportional to 1,108.57, 1,529.84 and 611.23 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.57 : 1,529.84 = 611.23 : x
  2. Step 2: Convert to fraction form
    1,108.57/1,529.84 = 611.23/x
  3. Step 3: Cross multiply
    1,108.57x = 1,529.84 × 611.23
  4. Step 4: Simplify right side
    1,108.57x = 935,084.10
  5. Step 5: Solve for x
    x = 935,084.10/1,108.57
  6. Step 6: Final answer
    x = 843.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.