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Finding the Fourth Proportional to 932.43, 1,391.73 and 823.08

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Solution

The fourth proportional to 932.43, 1,391.73 and 823.08 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.43 : 1,391.73 = 823.08 : x
  2. Step 2: Convert to fraction form
    932.43/1,391.73 = 823.08/x
  3. Step 3: Cross multiply
    932.43x = 1,391.73 × 823.08
  4. Step 4: Simplify right side
    932.43x = 1,145,505.13
  5. Step 5: Solve for x
    x = 1,145,505.13/932.43
  6. Step 6: Final answer
    x = 1,228.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.