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Finding the Fourth Proportional to 661.93, 913.21 and 413.15

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Solution

The fourth proportional to 661.93, 913.21 and 413.15 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.93 : 913.21 = 413.15 : x
  2. Step 2: Convert to fraction form
    661.93/913.21 = 413.15/x
  3. Step 3: Cross multiply
    661.93x = 913.21 × 413.15
  4. Step 4: Simplify right side
    661.93x = 377,287.11
  5. Step 5: Solve for x
    x = 377,287.11/661.93
  6. Step 6: Final answer
    x = 569.98

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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.