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Finding the Fourth Proportional to 469.24, 704.13 and 324.70

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Solution

The fourth proportional to 469.24, 704.13 and 324.70 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 704.13 = 324.70 : x
  2. Step 2: Convert to fraction form
    469.24/704.13 = 324.70/x
  3. Step 3: Cross multiply
    469.24x = 704.13 × 324.70
  4. Step 4: Simplify right side
    469.24x = 228,631.01
  5. Step 5: Solve for x
    x = 228,631.01/469.24
  6. Step 6: Final answer
    x = 487.24

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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.