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Finding the Fourth Proportional to 1,180.52, 1,630.14 and 986.12

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Solution

The fourth proportional to 1,180.52, 1,630.14 and 986.12 is: 1,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.52 : 1,630.14 = 986.12 : x
  2. Step 2: Convert to fraction form
    1,180.52/1,630.14 = 986.12/x
  3. Step 3: Cross multiply
    1,180.52x = 1,630.14 × 986.12
  4. Step 4: Simplify right side
    1,180.52x = 1,607,513.66
  5. Step 5: Solve for x
    x = 1,607,513.66/1,180.52
  6. Step 6: Final answer
    x = 1,361.70

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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.