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Finding the Fourth Proportional to 463.84, 638.86 and 401.66

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Solution

The fourth proportional to 463.84, 638.86 and 401.66 is: 553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 638.86 = 401.66 : x
  2. Step 2: Convert to fraction form
    463.84/638.86 = 401.66/x
  3. Step 3: Cross multiply
    463.84x = 638.86 × 401.66
  4. Step 4: Simplify right side
    463.84x = 256,604.51
  5. Step 5: Solve for x
    x = 256,604.51/463.84
  6. Step 6: Final answer
    x = 553.22

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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.