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Finding the Fourth Proportional to 708.95, 1,063.56 and 275.87

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Solution

The fourth proportional to 708.95, 1,063.56 and 275.87 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.95 : 1,063.56 = 275.87 : x
  2. Step 2: Convert to fraction form
    708.95/1,063.56 = 275.87/x
  3. Step 3: Cross multiply
    708.95x = 1,063.56 × 275.87
  4. Step 4: Simplify right side
    708.95x = 293,404.30
  5. Step 5: Solve for x
    x = 293,404.30/708.95
  6. Step 6: Final answer
    x = 413.86

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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.