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Finding the Fourth Proportional to 1,540.88, 2,310.72 and 616.20

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Solution

The fourth proportional to 1,540.88, 2,310.72 and 616.20 is: 924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.88 : 2,310.72 = 616.20 : x
  2. Step 2: Convert to fraction form
    1,540.88/2,310.72 = 616.20/x
  3. Step 3: Cross multiply
    1,540.88x = 2,310.72 × 616.20
  4. Step 4: Simplify right side
    1,540.88x = 1,423,865.66
  5. Step 5: Solve for x
    x = 1,423,865.66/1,540.88
  6. Step 6: Final answer
    x = 924.06

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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.