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Finding the Fourth Proportional to 507.27, 762.12 and 325.02

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Solution

The fourth proportional to 507.27, 762.12 and 325.02 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.27 : 762.12 = 325.02 : x
  2. Step 2: Convert to fraction form
    507.27/762.12 = 325.02/x
  3. Step 3: Cross multiply
    507.27x = 762.12 × 325.02
  4. Step 4: Simplify right side
    507.27x = 247,704.24
  5. Step 5: Solve for x
    x = 247,704.24/507.27
  6. Step 6: Final answer
    x = 488.31

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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.