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Finding the Fourth Proportional to 775.26, 1,069.86 and 425.96

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Solution

The fourth proportional to 775.26, 1,069.86 and 425.96 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.26 : 1,069.86 = 425.96 : x
  2. Step 2: Convert to fraction form
    775.26/1,069.86 = 425.96/x
  3. Step 3: Cross multiply
    775.26x = 1,069.86 × 425.96
  4. Step 4: Simplify right side
    775.26x = 455,712.22
  5. Step 5: Solve for x
    x = 455,712.22/775.26
  6. Step 6: Final answer
    x = 587.82

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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.