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Finding the Fourth Proportional to 862.64, 1,191 and 531.55

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Solution

The fourth proportional to 862.64, 1,191 and 531.55 is: 733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,191 = 531.55 : x
  2. Step 2: Convert to fraction form
    862.64/1,191 = 531.55/x
  3. Step 3: Cross multiply
    862.64x = 1,191 × 531.55
  4. Step 4: Simplify right side
    862.64x = 633,076.05
  5. Step 5: Solve for x
    x = 633,076.05/862.64
  6. Step 6: Final answer
    x = 733.88

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1.5x scale

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.