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Finding the Fourth Proportional to 500.28, 749.20 and 413.08

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Solution

The fourth proportional to 500.28, 749.20 and 413.08 is: 618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 749.20 = 413.08 : x
  2. Step 2: Convert to fraction form
    500.28/749.20 = 413.08/x
  3. Step 3: Cross multiply
    500.28x = 749.20 × 413.08
  4. Step 4: Simplify right side
    500.28x = 309,479.54
  5. Step 5: Solve for x
    x = 309,479.54/500.28
  6. Step 6: Final answer
    x = 618.61

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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.