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Finding the Fourth Proportional to 463.14, 694.71 and 174.51

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Solution

The fourth proportional to 463.14, 694.71 and 174.51 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 694.71 = 174.51 : x
  2. Step 2: Convert to fraction form
    463.14/694.71 = 174.51/x
  3. Step 3: Cross multiply
    463.14x = 694.71 × 174.51
  4. Step 4: Simplify right side
    463.14x = 121,233.84
  5. Step 5: Solve for x
    x = 121,233.84/463.14
  6. Step 6: Final answer
    x = 261.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.