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Finding the Fourth Proportional to 956.93, 1,319.33 and 823.86

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Solution

The fourth proportional to 956.93, 1,319.33 and 823.86 is: 1,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.93 : 1,319.33 = 823.86 : x
  2. Step 2: Convert to fraction form
    956.93/1,319.33 = 823.86/x
  3. Step 3: Cross multiply
    956.93x = 1,319.33 × 823.86
  4. Step 4: Simplify right side
    956.93x = 1,086,945.27
  5. Step 5: Solve for x
    x = 1,086,945.27/956.93
  6. Step 6: Final answer
    x = 1,135.87

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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.