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Finding the Fourth Proportional to 958.62, 1,322.86 and 565.62

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Solution

The fourth proportional to 958.62, 1,322.86 and 565.62 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.62 : 1,322.86 = 565.62 : x
  2. Step 2: Convert to fraction form
    958.62/1,322.86 = 565.62/x
  3. Step 3: Cross multiply
    958.62x = 1,322.86 × 565.62
  4. Step 4: Simplify right side
    958.62x = 748,236.07
  5. Step 5: Solve for x
    x = 748,236.07/958.62
  6. Step 6: Final answer
    x = 780.53

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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.