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Finding the Fourth Proportional to 775.42, 1,067.40 and 588.58

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Solution

The fourth proportional to 775.42, 1,067.40 and 588.58 is: 810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,067.40 = 588.58 : x
  2. Step 2: Convert to fraction form
    775.42/1,067.40 = 588.58/x
  3. Step 3: Cross multiply
    775.42x = 1,067.40 × 588.58
  4. Step 4: Simplify right side
    775.42x = 628,247.62
  5. Step 5: Solve for x
    x = 628,247.62/775.42
  6. Step 6: Final answer
    x = 810.21

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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.