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Finding the Fourth Proportional to 1,078.01, 1,616.67 and 639.87

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Solution

The fourth proportional to 1,078.01, 1,616.67 and 639.87 is: 959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.01 : 1,616.67 = 639.87 : x
  2. Step 2: Convert to fraction form
    1,078.01/1,616.67 = 639.87/x
  3. Step 3: Cross multiply
    1,078.01x = 1,616.67 × 639.87
  4. Step 4: Simplify right side
    1,078.01x = 1,034,456.88
  5. Step 5: Solve for x
    x = 1,034,456.88/1,078.01
  6. Step 6: Final answer
    x = 959.60

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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.