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Finding the Fourth Proportional to 1,180.56, 1,771.02 and 531.32

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Solution

The fourth proportional to 1,180.56, 1,771.02 and 531.32 is: 797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.56 : 1,771.02 = 531.32 : x
  2. Step 2: Convert to fraction form
    1,180.56/1,771.02 = 531.32/x
  3. Step 3: Cross multiply
    1,180.56x = 1,771.02 × 531.32
  4. Step 4: Simplify right side
    1,180.56x = 940,978.35
  5. Step 5: Solve for x
    x = 940,978.35/1,180.56
  6. Step 6: Final answer
    x = 797.06

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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.