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Finding the Fourth Proportional to 879.24, 1,311.06 and 844.62

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Solution

The fourth proportional to 879.24, 1,311.06 and 844.62 is: 1,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.24 : 1,311.06 = 844.62 : x
  2. Step 2: Convert to fraction form
    879.24/1,311.06 = 844.62/x
  3. Step 3: Cross multiply
    879.24x = 1,311.06 × 844.62
  4. Step 4: Simplify right side
    879.24x = 1,107,347.50
  5. Step 5: Solve for x
    x = 1,107,347.50/879.24
  6. Step 6: Final answer
    x = 1,259.44

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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.