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Finding the Fourth Proportional to 792.66, 1,094.12 and 498.22

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Solution

The fourth proportional to 792.66, 1,094.12 and 498.22 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.66 : 1,094.12 = 498.22 : x
  2. Step 2: Convert to fraction form
    792.66/1,094.12 = 498.22/x
  3. Step 3: Cross multiply
    792.66x = 1,094.12 × 498.22
  4. Step 4: Simplify right side
    792.66x = 545,112.47
  5. Step 5: Solve for x
    x = 545,112.47/792.66
  6. Step 6: Final answer
    x = 687.70

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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.