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Finding the Fourth Proportional to 468.12, 704.76 and 324.84

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Solution

The fourth proportional to 468.12, 704.76 and 324.84 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 704.76 = 324.84 : x
  2. Step 2: Convert to fraction form
    468.12/704.76 = 324.84/x
  3. Step 3: Cross multiply
    468.12x = 704.76 × 324.84
  4. Step 4: Simplify right side
    468.12x = 228,934.24
  5. Step 5: Solve for x
    x = 228,934.24/468.12
  6. Step 6: Final answer
    x = 489.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.