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Finding the Fourth Proportional to 792.92, 1,094.24 and 478.20

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Solution

The fourth proportional to 792.92, 1,094.24 and 478.20 is: 659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.92 : 1,094.24 = 478.20 : x
  2. Step 2: Convert to fraction form
    792.92/1,094.24 = 478.20/x
  3. Step 3: Cross multiply
    792.92x = 1,094.24 × 478.20
  4. Step 4: Simplify right side
    792.92x = 523,265.57
  5. Step 5: Solve for x
    x = 523,265.57/792.92
  6. Step 6: Final answer
    x = 659.92

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1.5x scale

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.