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Finding the Fourth Proportional to 468.81, 643.26 and 464.46

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Solution

The fourth proportional to 468.81, 643.26 and 464.46 is: 637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 643.26 = 464.46 : x
  2. Step 2: Convert to fraction form
    468.81/643.26 = 464.46/x
  3. Step 3: Cross multiply
    468.81x = 643.26 × 464.46
  4. Step 4: Simplify right side
    468.81x = 298,768.54
  5. Step 5: Solve for x
    x = 298,768.54/468.81
  6. Step 6: Final answer
    x = 637.29

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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.