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Finding the Fourth Proportional to 1,108.91, 1,530.19 and 611.57

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Solution

The fourth proportional to 1,108.91, 1,530.19 and 611.57 is: 843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.91 : 1,530.19 = 611.57 : x
  2. Step 2: Convert to fraction form
    1,108.91/1,530.19 = 611.57/x
  3. Step 3: Cross multiply
    1,108.91x = 1,530.19 × 611.57
  4. Step 4: Simplify right side
    1,108.91x = 935,818.30
  5. Step 5: Solve for x
    x = 935,818.30/1,108.91
  6. Step 6: Final answer
    x = 843.91

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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.