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Finding the Fourth Proportional to 847.53, 1,270.62 and 408.78

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Solution

The fourth proportional to 847.53, 1,270.62 and 408.78 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.53 : 1,270.62 = 408.78 : x
  2. Step 2: Convert to fraction form
    847.53/1,270.62 = 408.78/x
  3. Step 3: Cross multiply
    847.53x = 1,270.62 × 408.78
  4. Step 4: Simplify right side
    847.53x = 519,404.04
  5. Step 5: Solve for x
    x = 519,404.04/847.53
  6. Step 6: Final answer
    x = 612.84

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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.