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Finding the Fourth Proportional to 470.19, 704.07 and 324.39

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Solution

The fourth proportional to 470.19, 704.07 and 324.39 is: 485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 704.07 = 324.39 : x
  2. Step 2: Convert to fraction form
    470.19/704.07 = 324.39/x
  3. Step 3: Cross multiply
    470.19x = 704.07 × 324.39
  4. Step 4: Simplify right side
    470.19x = 228,393.27
  5. Step 5: Solve for x
    x = 228,393.27/470.19
  6. Step 6: Final answer
    x = 485.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.