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Finding the Fourth Proportional to 879.48, 1,311.48 and 817.92

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Solution

The fourth proportional to 879.48, 1,311.48 and 817.92 is: 1,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,311.48 = 817.92 : x
  2. Step 2: Convert to fraction form
    879.48/1,311.48 = 817.92/x
  3. Step 3: Cross multiply
    879.48x = 1,311.48 × 817.92
  4. Step 4: Simplify right side
    879.48x = 1,072,685.72
  5. Step 5: Solve for x
    x = 1,072,685.72/879.48
  6. Step 6: Final answer
    x = 1,219.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.