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Finding the Fourth Proportional to 775.78, 1,070.60 and 426.48

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Solution

The fourth proportional to 775.78, 1,070.60 and 426.48 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.78 : 1,070.60 = 426.48 : x
  2. Step 2: Convert to fraction form
    775.78/1,070.60 = 426.48/x
  3. Step 3: Cross multiply
    775.78x = 1,070.60 × 426.48
  4. Step 4: Simplify right side
    775.78x = 456,589.49
  5. Step 5: Solve for x
    x = 456,589.49/775.78
  6. Step 6: Final answer
    x = 588.56

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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.