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Finding the Fourth Proportional to 661.62, 913.04 and 366.92

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Solution

The fourth proportional to 661.62, 913.04 and 366.92 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 913.04 = 366.92 : x
  2. Step 2: Convert to fraction form
    661.62/913.04 = 366.92/x
  3. Step 3: Cross multiply
    661.62x = 913.04 × 366.92
  4. Step 4: Simplify right side
    661.62x = 335,011.04
  5. Step 5: Solve for x
    x = 335,011.04/661.62
  6. Step 6: Final answer
    x = 506.35

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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.