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Finding the Fourth Proportional to 661.72, 913.24 and 413.14

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Solution

The fourth proportional to 661.72, 913.24 and 413.14 is: 570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.72 : 913.24 = 413.14 : x
  2. Step 2: Convert to fraction form
    661.72/913.24 = 413.14/x
  3. Step 3: Cross multiply
    661.72x = 913.24 × 413.14
  4. Step 4: Simplify right side
    661.72x = 377,295.97
  5. Step 5: Solve for x
    x = 377,295.97/661.72
  6. Step 6: Final answer
    x = 570.17

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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.