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Finding the Fourth Proportional to 877.62, 1,209.70 and 828.42

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Solution

The fourth proportional to 877.62, 1,209.70 and 828.42 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.62 : 1,209.70 = 828.42 : x
  2. Step 2: Convert to fraction form
    877.62/1,209.70 = 828.42/x
  3. Step 3: Cross multiply
    877.62x = 1,209.70 × 828.42
  4. Step 4: Simplify right side
    877.62x = 1,002,139.67
  5. Step 5: Solve for x
    x = 1,002,139.67/877.62
  6. Step 6: Final answer
    x = 1,141.88

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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.