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Finding the Fourth Proportional to 781.96, 1,172.80 and 469.80

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Solution

The fourth proportional to 781.96, 1,172.80 and 469.80 is: 704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.96 : 1,172.80 = 469.80 : x
  2. Step 2: Convert to fraction form
    781.96/1,172.80 = 469.80/x
  3. Step 3: Cross multiply
    781.96x = 1,172.80 × 469.80
  4. Step 4: Simplify right side
    781.96x = 550,981.44
  5. Step 5: Solve for x
    x = 550,981.44/781.96
  6. Step 6: Final answer
    x = 704.62

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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.