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Finding the Fourth Proportional to 1,529.75, 2,295.02 and 708.61

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Solution

The fourth proportional to 1,529.75, 2,295.02 and 708.61 is: 1,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.75 : 2,295.02 = 708.61 : x
  2. Step 2: Convert to fraction form
    1,529.75/2,295.02 = 708.61/x
  3. Step 3: Cross multiply
    1,529.75x = 2,295.02 × 708.61
  4. Step 4: Simplify right side
    1,529.75x = 1,626,274.12
  5. Step 5: Solve for x
    x = 1,626,274.12/1,529.75
  6. Step 6: Final answer
    x = 1,063.10

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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.