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Finding the Fourth Proportional to 413.34, 572.69 and 385.26

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Solution

The fourth proportional to 413.34, 572.69 and 385.26 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 572.69 = 385.26 : x
  2. Step 2: Convert to fraction form
    413.34/572.69 = 385.26/x
  3. Step 3: Cross multiply
    413.34x = 572.69 × 385.26
  4. Step 4: Simplify right side
    413.34x = 220,632.62
  5. Step 5: Solve for x
    x = 220,632.62/413.34
  6. Step 6: Final answer
    x = 533.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.