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Finding the Fourth Proportional to 661.67, 912.74 and 413.12

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Solution

The fourth proportional to 661.67, 912.74 and 413.12 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.67 : 912.74 = 413.12 : x
  2. Step 2: Convert to fraction form
    661.67/912.74 = 413.12/x
  3. Step 3: Cross multiply
    661.67x = 912.74 × 413.12
  4. Step 4: Simplify right side
    661.67x = 377,064.52
  5. Step 5: Solve for x
    x = 377,064.52/661.67
  6. Step 6: Final answer
    x = 569.87

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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.