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Finding the Fourth Proportional to 794.88, 1,092.96 and 678.24

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Solution

The fourth proportional to 794.88, 1,092.96 and 678.24 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,092.96 = 678.24 : x
  2. Step 2: Convert to fraction form
    794.88/1,092.96 = 678.24/x
  3. Step 3: Cross multiply
    794.88x = 1,092.96 × 678.24
  4. Step 4: Simplify right side
    794.88x = 741,289.19
  5. Step 5: Solve for x
    x = 741,289.19/794.88
  6. Step 6: Final answer
    x = 932.58

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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.