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Finding the Fourth Proportional to 1,650.91, 2,278.05 and 987.61

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Solution

The fourth proportional to 1,650.91, 2,278.05 and 987.61 is: 1,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.91 : 2,278.05 = 987.61 : x
  2. Step 2: Convert to fraction form
    1,650.91/2,278.05 = 987.61/x
  3. Step 3: Cross multiply
    1,650.91x = 2,278.05 × 987.61
  4. Step 4: Simplify right side
    1,650.91x = 2,249,824.96
  5. Step 5: Solve for x
    x = 2,249,824.96/1,650.91
  6. Step 6: Final answer
    x = 1,362.78

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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.