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Finding the Fourth Proportional to 825.12, 1,236.54 and 478.23

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Solution

The fourth proportional to 825.12, 1,236.54 and 478.23 is: 716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,236.54 = 478.23 : x
  2. Step 2: Convert to fraction form
    825.12/1,236.54 = 478.23/x
  3. Step 3: Cross multiply
    825.12x = 1,236.54 × 478.23
  4. Step 4: Simplify right side
    825.12x = 591,350.52
  5. Step 5: Solve for x
    x = 591,350.52/825.12
  6. Step 6: Final answer
    x = 716.68

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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.