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Finding the Fourth Proportional to 708.58, 1,063.20 and 275.62

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Solution

The fourth proportional to 708.58, 1,063.20 and 275.62 is: 413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 1,063.20 = 275.62 : x
  2. Step 2: Convert to fraction form
    708.58/1,063.20 = 275.62/x
  3. Step 3: Cross multiply
    708.58x = 1,063.20 × 275.62
  4. Step 4: Simplify right side
    708.58x = 293,039.18
  5. Step 5: Solve for x
    x = 293,039.18/708.58
  6. Step 6: Final answer
    x = 413.56

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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.