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Finding the Fourth Proportional to 413.55, 568.31 and 394.52

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Solution

The fourth proportional to 413.55, 568.31 and 394.52 is: 542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.55 : 568.31 = 394.52 : x
  2. Step 2: Convert to fraction form
    413.55/568.31 = 394.52/x
  3. Step 3: Cross multiply
    413.55x = 568.31 × 394.52
  4. Step 4: Simplify right side
    413.55x = 224,204.85
  5. Step 5: Solve for x
    x = 224,204.85/413.55
  6. Step 6: Final answer
    x = 542.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.