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Finding the Fourth Proportional to 413.78, 574.76 and 407.17

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Solution

The fourth proportional to 413.78, 574.76 and 407.17 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 574.76 = 407.17 : x
  2. Step 2: Convert to fraction form
    413.78/574.76 = 407.17/x
  3. Step 3: Cross multiply
    413.78x = 574.76 × 407.17
  4. Step 4: Simplify right side
    413.78x = 234,022.16
  5. Step 5: Solve for x
    x = 234,022.16/413.78
  6. Step 6: Final answer
    x = 565.57

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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.