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Finding the Fourth Proportional to 832.80, 1,245.20 and 712.48

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Solution

The fourth proportional to 832.80, 1,245.20 and 712.48 is: 1,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.80 : 1,245.20 = 712.48 : x
  2. Step 2: Convert to fraction form
    832.80/1,245.20 = 712.48/x
  3. Step 3: Cross multiply
    832.80x = 1,245.20 × 712.48
  4. Step 4: Simplify right side
    832.80x = 887,180.10
  5. Step 5: Solve for x
    x = 887,180.10/832.80
  6. Step 6: Final answer
    x = 1,065.30

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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.