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Finding the Fourth Proportional to 708.27, 1,062.40 and 239.75

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Solution

The fourth proportional to 708.27, 1,062.40 and 239.75 is: 359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.27 : 1,062.40 = 239.75 : x
  2. Step 2: Convert to fraction form
    708.27/1,062.40 = 239.75/x
  3. Step 3: Cross multiply
    708.27x = 1,062.40 × 239.75
  4. Step 4: Simplify right side
    708.27x = 254,710.40
  5. Step 5: Solve for x
    x = 254,710.40/708.27
  6. Step 6: Final answer
    x = 359.62

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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.