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Finding the Fourth Proportional to 708.25, 1,062.39 and 275.59

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Solution

The fourth proportional to 708.25, 1,062.39 and 275.59 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 1,062.39 = 275.59 : x
  2. Step 2: Convert to fraction form
    708.25/1,062.39 = 275.59/x
  3. Step 3: Cross multiply
    708.25x = 1,062.39 × 275.59
  4. Step 4: Simplify right side
    708.25x = 292,784.06
  5. Step 5: Solve for x
    x = 292,784.06/708.25
  6. Step 6: Final answer
    x = 413.39

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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.