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Finding the Fourth Proportional to 958.83, 1,323.10 and 539.15

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Solution

The fourth proportional to 958.83, 1,323.10 and 539.15 is: 743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.83 : 1,323.10 = 539.15 : x
  2. Step 2: Convert to fraction form
    958.83/1,323.10 = 539.15/x
  3. Step 3: Cross multiply
    958.83x = 1,323.10 × 539.15
  4. Step 4: Simplify right side
    958.83x = 713,340.05
  5. Step 5: Solve for x
    x = 713,340.05/958.83
  6. Step 6: Final answer
    x = 743.97

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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.