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Finding the Fourth Proportional to 775.04, 1,069.88 and 588.56

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Solution

The fourth proportional to 775.04, 1,069.88 and 588.56 is: 812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,069.88 = 588.56 : x
  2. Step 2: Convert to fraction form
    775.04/1,069.88 = 588.56/x
  3. Step 3: Cross multiply
    775.04x = 1,069.88 × 588.56
  4. Step 4: Simplify right side
    775.04x = 629,688.57
  5. Step 5: Solve for x
    x = 629,688.57/775.04
  6. Step 6: Final answer
    x = 812.46

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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.