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Finding the Fourth Proportional to 507.68, 760.48 and 324.62

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Solution

The fourth proportional to 507.68, 760.48 and 324.62 is: 486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 760.48 = 324.62 : x
  2. Step 2: Convert to fraction form
    507.68/760.48 = 324.62/x
  3. Step 3: Cross multiply
    507.68x = 760.48 × 324.62
  4. Step 4: Simplify right side
    507.68x = 246,867.02
  5. Step 5: Solve for x
    x = 246,867.02/507.68
  6. Step 6: Final answer
    x = 486.27

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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.