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Finding the Fourth Proportional to 413.76, 574.78 and 409.92

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Solution

The fourth proportional to 413.76, 574.78 and 409.92 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 574.78 = 409.92 : x
  2. Step 2: Convert to fraction form
    413.76/574.78 = 409.92/x
  3. Step 3: Cross multiply
    413.76x = 574.78 × 409.92
  4. Step 4: Simplify right side
    413.76x = 235,613.82
  5. Step 5: Solve for x
    x = 235,613.82/413.76
  6. Step 6: Final answer
    x = 569.45

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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.