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Finding the Fourth Proportional to 825.20, 1,239.36 and 708.32

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Solution

The fourth proportional to 825.20, 1,239.36 and 708.32 is: 1,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,239.36 = 708.32 : x
  2. Step 2: Convert to fraction form
    825.20/1,239.36 = 708.32/x
  3. Step 3: Cross multiply
    825.20x = 1,239.36 × 708.32
  4. Step 4: Simplify right side
    825.20x = 877,863.48
  5. Step 5: Solve for x
    x = 877,863.48/825.20
  6. Step 6: Final answer
    x = 1,063.82

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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.