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Finding the Fourth Proportional to 876.62, 1,208.32 and 827.42

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Solution

The fourth proportional to 876.62, 1,208.32 and 827.42 is: 1,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.62 : 1,208.32 = 827.42 : x
  2. Step 2: Convert to fraction form
    876.62/1,208.32 = 827.42/x
  3. Step 3: Cross multiply
    876.62x = 1,208.32 × 827.42
  4. Step 4: Simplify right side
    876.62x = 999,780.02
  5. Step 5: Solve for x
    x = 999,780.02/876.62
  6. Step 6: Final answer
    x = 1,140.49

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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.