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Finding the Fourth Proportional to 574.89, 865.71 and 413.70

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Solution

The fourth proportional to 574.89, 865.71 and 413.70 is: 622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.89 : 865.71 = 413.70 : x
  2. Step 2: Convert to fraction form
    574.89/865.71 = 413.70/x
  3. Step 3: Cross multiply
    574.89x = 865.71 × 413.70
  4. Step 4: Simplify right side
    574.89x = 358,144.23
  5. Step 5: Solve for x
    x = 358,144.23/574.89
  6. Step 6: Final answer
    x = 622.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.