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Finding the Fourth Proportional to 574.52, 865.14 and 413.32

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Solution

The fourth proportional to 574.52, 865.14 and 413.32 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.52 : 865.14 = 413.32 : x
  2. Step 2: Convert to fraction form
    574.52/865.14 = 413.32/x
  3. Step 3: Cross multiply
    574.52x = 865.14 × 413.32
  4. Step 4: Simplify right side
    574.52x = 357,579.66
  5. Step 5: Solve for x
    x = 357,579.66/574.52
  6. Step 6: Final answer
    x = 622.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.