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Finding the Fourth Proportional to 465.85, 643.01 and 324.14

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Solution

The fourth proportional to 465.85, 643.01 and 324.14 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 643.01 = 324.14 : x
  2. Step 2: Convert to fraction form
    465.85/643.01 = 324.14/x
  3. Step 3: Cross multiply
    465.85x = 643.01 × 324.14
  4. Step 4: Simplify right side
    465.85x = 208,420.43
  5. Step 5: Solve for x
    x = 208,420.43/465.85
  6. Step 6: Final answer
    x = 447.40

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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.