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Finding the Fourth Proportional to 1,108.83, 1,530.28 and 611.57

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Solution

The fourth proportional to 1,108.83, 1,530.28 and 611.57 is: 844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.83 : 1,530.28 = 611.57 : x
  2. Step 2: Convert to fraction form
    1,108.83/1,530.28 = 611.57/x
  3. Step 3: Cross multiply
    1,108.83x = 1,530.28 × 611.57
  4. Step 4: Simplify right side
    1,108.83x = 935,864.16
  5. Step 5: Solve for x
    x = 935,864.16/1,108.83
  6. Step 6: Final answer
    x = 844.01

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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.