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Finding the Fourth Proportional to 419.76, 574.12 and 413.04

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Solution

The fourth proportional to 419.76, 574.12 and 413.04 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 574.12 = 413.04 : x
  2. Step 2: Convert to fraction form
    419.76/574.12 = 413.04/x
  3. Step 3: Cross multiply
    419.76x = 574.12 × 413.04
  4. Step 4: Simplify right side
    419.76x = 237,134.52
  5. Step 5: Solve for x
    x = 237,134.52/419.76
  6. Step 6: Final answer
    x = 564.93

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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.