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Finding the Fourth Proportional to 468.17, 644.62 and 401.69

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Solution

The fourth proportional to 468.17, 644.62 and 401.69 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.17 : 644.62 = 401.69 : x
  2. Step 2: Convert to fraction form
    468.17/644.62 = 401.69/x
  3. Step 3: Cross multiply
    468.17x = 644.62 × 401.69
  4. Step 4: Simplify right side
    468.17x = 258,937.41
  5. Step 5: Solve for x
    x = 258,937.41/468.17
  6. Step 6: Final answer
    x = 553.08

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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.