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Finding the Fourth Proportional to 930.96, 1,396.37 and 565.65

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Solution

The fourth proportional to 930.96, 1,396.37 and 565.65 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,396.37 = 565.65 : x
  2. Step 2: Convert to fraction form
    930.96/1,396.37 = 565.65/x
  3. Step 3: Cross multiply
    930.96x = 1,396.37 × 565.65
  4. Step 4: Simplify right side
    930.96x = 789,853.86
  5. Step 5: Solve for x
    x = 789,853.86/930.96
  6. Step 6: Final answer
    x = 848.43

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