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Finding the Fourth Proportional to 571.28, 789.05 and 413.65

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Solution

The fourth proportional to 571.28, 789.05 and 413.65 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 789.05 = 413.65 : x
  2. Step 2: Convert to fraction form
    571.28/789.05 = 413.65/x
  3. Step 3: Cross multiply
    571.28x = 789.05 × 413.65
  4. Step 4: Simplify right side
    571.28x = 326,392.55
  5. Step 5: Solve for x
    x = 326,392.55/571.28
  6. Step 6: Final answer
    x = 571.34

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1.5x scale

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.