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Finding the Fourth Proportional to 661.79, 913.20 and 366.98

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Solution

The fourth proportional to 661.79, 913.20 and 366.98 is: 506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.79 : 913.20 = 366.98 : x
  2. Step 2: Convert to fraction form
    661.79/913.20 = 366.98/x
  3. Step 3: Cross multiply
    661.79x = 913.20 × 366.98
  4. Step 4: Simplify right side
    661.79x = 335,126.14
  5. Step 5: Solve for x
    x = 335,126.14/661.79
  6. Step 6: Final answer
    x = 506.39

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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.