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Finding the Fourth Proportional to 965.24, 1,331.85 and 539.87

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Solution

The fourth proportional to 965.24, 1,331.85 and 539.87 is: 744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.24 : 1,331.85 = 539.87 : x
  2. Step 2: Convert to fraction form
    965.24/1,331.85 = 539.87/x
  3. Step 3: Cross multiply
    965.24x = 1,331.85 × 539.87
  4. Step 4: Simplify right side
    965.24x = 719,025.86
  5. Step 5: Solve for x
    x = 719,025.86/965.24
  6. Step 6: Final answer
    x = 744.92

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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.