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Finding the Fourth Proportional to 829.70, 1,245.35 and 708.10

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Solution

The fourth proportional to 829.70, 1,245.35 and 708.10 is: 1,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.70 : 1,245.35 = 708.10 : x
  2. Step 2: Convert to fraction form
    829.70/1,245.35 = 708.10/x
  3. Step 3: Cross multiply
    829.70x = 1,245.35 × 708.10
  4. Step 4: Simplify right side
    829.70x = 881,832.34
  5. Step 5: Solve for x
    x = 881,832.34/829.70
  6. Step 6: Final answer
    x = 1,062.83

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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.