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Finding the Fourth Proportional to 950.59, 1,311.86 and 552.25

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Solution

The fourth proportional to 950.59, 1,311.86 and 552.25 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.59 : 1,311.86 = 552.25 : x
  2. Step 2: Convert to fraction form
    950.59/1,311.86 = 552.25/x
  3. Step 3: Cross multiply
    950.59x = 1,311.86 × 552.25
  4. Step 4: Simplify right side
    950.59x = 724,474.69
  5. Step 5: Solve for x
    x = 724,474.69/950.59
  6. Step 6: Final answer
    x = 762.13

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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.