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Finding the Fourth Proportional to 413.11, 569.85 and 345.64

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Solution

The fourth proportional to 413.11, 569.85 and 345.64 is: 476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 569.85 = 345.64 : x
  2. Step 2: Convert to fraction form
    413.11/569.85 = 345.64/x
  3. Step 3: Cross multiply
    413.11x = 569.85 × 345.64
  4. Step 4: Simplify right side
    413.11x = 196,962.95
  5. Step 5: Solve for x
    x = 196,962.95/413.11
  6. Step 6: Final answer
    x = 476.78

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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.