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Finding the Fourth Proportional to 468.14, 644.40 and 451.13

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Solution

The fourth proportional to 468.14, 644.40 and 451.13 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 644.40 = 451.13 : x
  2. Step 2: Convert to fraction form
    468.14/644.40 = 451.13/x
  3. Step 3: Cross multiply
    468.14x = 644.40 × 451.13
  4. Step 4: Simplify right side
    468.14x = 290,704.95
  5. Step 5: Solve for x
    x = 290,704.95/468.14
  6. Step 6: Final answer
    x = 620.99

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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.