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Finding the Fourth Proportional to 792.13, 1,092.80 and 477.40

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Solution

The fourth proportional to 792.13, 1,092.80 and 477.40 is: 658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.13 : 1,092.80 = 477.40 : x
  2. Step 2: Convert to fraction form
    792.13/1,092.80 = 477.40/x
  3. Step 3: Cross multiply
    792.13x = 1,092.80 × 477.40
  4. Step 4: Simplify right side
    792.13x = 521,702.72
  5. Step 5: Solve for x
    x = 521,702.72/792.13
  6. Step 6: Final answer
    x = 658.61

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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.