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Finding the Fourth Proportional to 775.87, 1,069.98 and 527.56

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Solution

The fourth proportional to 775.87, 1,069.98 and 527.56 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.87 : 1,069.98 = 527.56 : x
  2. Step 2: Convert to fraction form
    775.87/1,069.98 = 527.56/x
  3. Step 3: Cross multiply
    775.87x = 1,069.98 × 527.56
  4. Step 4: Simplify right side
    775.87x = 564,478.65
  5. Step 5: Solve for x
    x = 564,478.65/775.87
  6. Step 6: Final answer
    x = 727.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.