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Finding the Fourth Proportional to 661.79, 913.21 and 413.16

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Solution

The fourth proportional to 661.79, 913.21 and 413.16 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.79 : 913.21 = 413.16 : x
  2. Step 2: Convert to fraction form
    661.79/913.21 = 413.16/x
  3. Step 3: Cross multiply
    661.79x = 913.21 × 413.16
  4. Step 4: Simplify right side
    661.79x = 377,300.81
  5. Step 5: Solve for x
    x = 377,300.81/661.79
  6. Step 6: Final answer
    x = 570.13

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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.