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Finding the Fourth Proportional to 775.36, 1,069.75 and 480.73

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Solution

The fourth proportional to 775.36, 1,069.75 and 480.73 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,069.75 = 480.73 : x
  2. Step 2: Convert to fraction form
    775.36/1,069.75 = 480.73/x
  3. Step 3: Cross multiply
    775.36x = 1,069.75 × 480.73
  4. Step 4: Simplify right side
    775.36x = 514,260.92
  5. Step 5: Solve for x
    x = 514,260.92/775.36
  6. Step 6: Final answer
    x = 663.25

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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.