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Finding the Fourth Proportional to 413.78, 570.71 and 330.75

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Solution

The fourth proportional to 413.78, 570.71 and 330.75 is: 456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 570.71 = 330.75 : x
  2. Step 2: Convert to fraction form
    413.78/570.71 = 330.75/x
  3. Step 3: Cross multiply
    413.78x = 570.71 × 330.75
  4. Step 4: Simplify right side
    413.78x = 188,763.16
  5. Step 5: Solve for x
    x = 188,763.16/413.78
  6. Step 6: Final answer
    x = 456.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.