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Finding the Fourth Proportional to 1,186.95, 1,781.10 and 639.12

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Solution

The fourth proportional to 1,186.95, 1,781.10 and 639.12 is: 959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.95 : 1,781.10 = 639.12 : x
  2. Step 2: Convert to fraction form
    1,186.95/1,781.10 = 639.12/x
  3. Step 3: Cross multiply
    1,186.95x = 1,781.10 × 639.12
  4. Step 4: Simplify right side
    1,186.95x = 1,138,333.44
  5. Step 5: Solve for x
    x = 1,138,333.44/1,186.95
  6. Step 6: Final answer
    x = 959.04

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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.