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Finding the Fourth Proportional to 871.77, 1,306.85 and 823.44

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Solution

The fourth proportional to 871.77, 1,306.85 and 823.44 is: 1,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,306.85 = 823.44 : x
  2. Step 2: Convert to fraction form
    871.77/1,306.85 = 823.44/x
  3. Step 3: Cross multiply
    871.77x = 1,306.85 × 823.44
  4. Step 4: Simplify right side
    871.77x = 1,076,108.45
  5. Step 5: Solve for x
    x = 1,076,108.45/871.77
  6. Step 6: Final answer
    x = 1,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.