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Finding the Fourth Proportional to 1,529.87, 2,295.20 and 708.73

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Solution

The fourth proportional to 1,529.87, 2,295.20 and 708.73 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.87 : 2,295.20 = 708.73 : x
  2. Step 2: Convert to fraction form
    1,529.87/2,295.20 = 708.73/x
  3. Step 3: Cross multiply
    1,529.87x = 2,295.20 × 708.73
  4. Step 4: Simplify right side
    1,529.87x = 1,626,686.04
  5. Step 5: Solve for x
    x = 1,626,686.04/1,529.87
  6. Step 6: Final answer
    x = 1,063.28

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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.