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Finding the Fourth Proportional to 1,177.50, 1,763.26 and 708.69

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Solution

The fourth proportional to 1,177.50, 1,763.26 and 708.69 is: 1,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.50 : 1,763.26 = 708.69 : x
  2. Step 2: Convert to fraction form
    1,177.50/1,763.26 = 708.69/x
  3. Step 3: Cross multiply
    1,177.50x = 1,763.26 × 708.69
  4. Step 4: Simplify right side
    1,177.50x = 1,249,604.73
  5. Step 5: Solve for x
    x = 1,249,604.73/1,177.50
  6. Step 6: Final answer
    x = 1,061.24

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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.