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Finding the Fourth Proportional to 782.39, 1,173.20 and 288.78

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Solution

The fourth proportional to 782.39, 1,173.20 and 288.78 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.39 : 1,173.20 = 288.78 : x
  2. Step 2: Convert to fraction form
    782.39/1,173.20 = 288.78/x
  3. Step 3: Cross multiply
    782.39x = 1,173.20 × 288.78
  4. Step 4: Simplify right side
    782.39x = 338,796.70
  5. Step 5: Solve for x
    x = 338,796.70/782.39
  6. Step 6: Final answer
    x = 433.03

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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.