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Finding the Fourth Proportional to 662.01, 913.17 and 413.13

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Solution

The fourth proportional to 662.01, 913.17 and 413.13 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.01 : 913.17 = 413.13 : x
  2. Step 2: Convert to fraction form
    662.01/913.17 = 413.13/x
  3. Step 3: Cross multiply
    662.01x = 913.17 × 413.13
  4. Step 4: Simplify right side
    662.01x = 377,262.90
  5. Step 5: Solve for x
    x = 377,262.90/662.01
  6. Step 6: Final answer
    x = 569.88

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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.