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Finding the Fourth Proportional to 958.69, 1,322.90 and 565.63

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Solution

The fourth proportional to 958.69, 1,322.90 and 565.63 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.69 : 1,322.90 = 565.63 : x
  2. Step 2: Convert to fraction form
    958.69/1,322.90 = 565.63/x
  3. Step 3: Cross multiply
    958.69x = 1,322.90 × 565.63
  4. Step 4: Simplify right side
    958.69x = 748,262.48
  5. Step 5: Solve for x
    x = 748,262.48/958.69
  6. Step 6: Final answer
    x = 780.51

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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.