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Finding the Fourth Proportional to 965.01, 1,449.46 and 575.78

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Solution

The fourth proportional to 965.01, 1,449.46 and 575.78 is: 864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.01 : 1,449.46 = 575.78 : x
  2. Step 2: Convert to fraction form
    965.01/1,449.46 = 575.78/x
  3. Step 3: Cross multiply
    965.01x = 1,449.46 × 575.78
  4. Step 4: Simplify right side
    965.01x = 834,563.55
  5. Step 5: Solve for x
    x = 834,563.55/965.01
  6. Step 6: Final answer
    x = 864.82

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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.