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Finding the Fourth Proportional to 808.74, 1,209.87 and 709.38

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Solution

The fourth proportional to 808.74, 1,209.87 and 709.38 is: 1,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.74 : 1,209.87 = 709.38 : x
  2. Step 2: Convert to fraction form
    808.74/1,209.87 = 709.38/x
  3. Step 3: Cross multiply
    808.74x = 1,209.87 × 709.38
  4. Step 4: Simplify right side
    808.74x = 858,257.58
  5. Step 5: Solve for x
    x = 858,257.58/808.74
  6. Step 6: Final answer
    x = 1,061.23

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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.