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Finding the Fourth Proportional to 1,659.15, 2,488.88 and 618.91

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Solution

The fourth proportional to 1,659.15, 2,488.88 and 618.91 is: 928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.15 : 2,488.88 = 618.91 : x
  2. Step 2: Convert to fraction form
    1,659.15/2,488.88 = 618.91/x
  3. Step 3: Cross multiply
    1,659.15x = 2,488.88 × 618.91
  4. Step 4: Simplify right side
    1,659.15x = 1,540,377.18
  5. Step 5: Solve for x
    x = 1,540,377.18/1,659.15
  6. Step 6: Final answer
    x = 928.42

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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.