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Finding the Fourth Proportional to 976.90, 1,349.16 and 792.22

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Solution

The fourth proportional to 976.90, 1,349.16 and 792.22 is: 1,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.90 : 1,349.16 = 792.22 : x
  2. Step 2: Convert to fraction form
    976.90/1,349.16 = 792.22/x
  3. Step 3: Cross multiply
    976.90x = 1,349.16 × 792.22
  4. Step 4: Simplify right side
    976.90x = 1,068,831.54
  5. Step 5: Solve for x
    x = 1,068,831.54/976.90
  6. Step 6: Final answer
    x = 1,094.11

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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.