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Finding the Fourth Proportional to 507.29, 760.91 and 324.28

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Solution

The fourth proportional to 507.29, 760.91 and 324.28 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 760.91 = 324.28 : x
  2. Step 2: Convert to fraction form
    507.29/760.91 = 324.28/x
  3. Step 3: Cross multiply
    507.29x = 760.91 × 324.28
  4. Step 4: Simplify right side
    507.29x = 246,749.05
  5. Step 5: Solve for x
    x = 246,749.05/507.29
  6. Step 6: Final answer
    x = 486.41

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Double scale
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1.5x scale

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.