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Finding the Fourth Proportional to 775.81, 1,162.90 and 390.25

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Solution

The fourth proportional to 775.81, 1,162.90 and 390.25 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.81 : 1,162.90 = 390.25 : x
  2. Step 2: Convert to fraction form
    775.81/1,162.90 = 390.25/x
  3. Step 3: Cross multiply
    775.81x = 1,162.90 × 390.25
  4. Step 4: Simplify right side
    775.81x = 453,821.73
  5. Step 5: Solve for x
    x = 453,821.73/775.81
  6. Step 6: Final answer
    x = 584.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.