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Finding the Fourth Proportional to 780.43, 1,170.84 and 232.66

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Solution

The fourth proportional to 780.43, 1,170.84 and 232.66 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.43 : 1,170.84 = 232.66 : x
  2. Step 2: Convert to fraction form
    780.43/1,170.84 = 232.66/x
  3. Step 3: Cross multiply
    780.43x = 1,170.84 × 232.66
  4. Step 4: Simplify right side
    780.43x = 272,404.13
  5. Step 5: Solve for x
    x = 272,404.13/780.43
  6. Step 6: Final answer
    x = 349.04

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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.