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Finding the Fourth Proportional to 469.14, 643.20 and 461.97

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Solution

The fourth proportional to 469.14, 643.20 and 461.97 is: 633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 643.20 = 461.97 : x
  2. Step 2: Convert to fraction form
    469.14/643.20 = 461.97/x
  3. Step 3: Cross multiply
    469.14x = 643.20 × 461.97
  4. Step 4: Simplify right side
    469.14x = 297,139.10
  5. Step 5: Solve for x
    x = 297,139.10/469.14
  6. Step 6: Final answer
    x = 633.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.