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Finding the Fourth Proportional to 833.79, 1,248.55 and 809.15

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Solution

The fourth proportional to 833.79, 1,248.55 and 809.15 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.79 : 1,248.55 = 809.15 : x
  2. Step 2: Convert to fraction form
    833.79/1,248.55 = 809.15/x
  3. Step 3: Cross multiply
    833.79x = 1,248.55 × 809.15
  4. Step 4: Simplify right side
    833.79x = 1,010,265.33
  5. Step 5: Solve for x
    x = 1,010,265.33/833.79
  6. Step 6: Final answer
    x = 1,211.65

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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.