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Finding the Fourth Proportional to 708.48, 1,055.20 and 704.80

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Solution

The fourth proportional to 708.48, 1,055.20 and 704.80 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.48 : 1,055.20 = 704.80 : x
  2. Step 2: Convert to fraction form
    708.48/1,055.20 = 704.80/x
  3. Step 3: Cross multiply
    708.48x = 1,055.20 × 704.80
  4. Step 4: Simplify right side
    708.48x = 743,704.96
  5. Step 5: Solve for x
    x = 743,704.96/708.48
  6. Step 6: Final answer
    x = 1,049.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.