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Finding the Fourth Proportional to 944.50, 1,413.90 and 633.86

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Solution

The fourth proportional to 944.50, 1,413.90 and 633.86 is: 948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.50 : 1,413.90 = 633.86 : x
  2. Step 2: Convert to fraction form
    944.50/1,413.90 = 633.86/x
  3. Step 3: Cross multiply
    944.50x = 1,413.90 × 633.86
  4. Step 4: Simplify right side
    944.50x = 896,214.65
  5. Step 5: Solve for x
    x = 896,214.65/944.50
  6. Step 6: Final answer
    x = 948.88

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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.