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Finding the Fourth Proportional to 1,180.98, 1,630.13 and 803.12

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Solution

The fourth proportional to 1,180.98, 1,630.13 and 803.12 is: 1,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.98 : 1,630.13 = 803.12 : x
  2. Step 2: Convert to fraction form
    1,180.98/1,630.13 = 803.12/x
  3. Step 3: Cross multiply
    1,180.98x = 1,630.13 × 803.12
  4. Step 4: Simplify right side
    1,180.98x = 1,309,177.84
  5. Step 5: Solve for x
    x = 1,309,177.84/1,180.98
  6. Step 6: Final answer
    x = 1,108.55

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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.