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Finding the Fourth Proportional to 1,180.12, 1,771.08 and 531.30

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Solution

The fourth proportional to 1,180.12, 1,771.08 and 531.30 is: 797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.12 : 1,771.08 = 531.30 : x
  2. Step 2: Convert to fraction form
    1,180.12/1,771.08 = 531.30/x
  3. Step 3: Cross multiply
    1,180.12x = 1,771.08 × 531.30
  4. Step 4: Simplify right side
    1,180.12x = 940,974.80
  5. Step 5: Solve for x
    x = 940,974.80/1,180.12
  6. Step 6: Final answer
    x = 797.36

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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.