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Finding the Fourth Proportional to 1,680.70, 2,520.18 and 987.58

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Solution

The fourth proportional to 1,680.70, 2,520.18 and 987.58 is: 1,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.70 : 2,520.18 = 987.58 : x
  2. Step 2: Convert to fraction form
    1,680.70/2,520.18 = 987.58/x
  3. Step 3: Cross multiply
    1,680.70x = 2,520.18 × 987.58
  4. Step 4: Simplify right side
    1,680.70x = 2,488,879.36
  5. Step 5: Solve for x
    x = 2,488,879.36/1,680.70
  6. Step 6: Final answer
    x = 1,480.86

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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.