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Finding the Fourth Proportional to 661.84, 913.35 and 367.13

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Solution

The fourth proportional to 661.84, 913.35 and 367.13 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.35 = 367.13 : x
  2. Step 2: Convert to fraction form
    661.84/913.35 = 367.13/x
  3. Step 3: Cross multiply
    661.84x = 913.35 × 367.13
  4. Step 4: Simplify right side
    661.84x = 335,320.13
  5. Step 5: Solve for x
    x = 335,320.13/661.84
  6. Step 6: Final answer
    x = 506.65

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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.