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Finding the Fourth Proportional to 520.46, 718.36 and 324.20

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Solution

The fourth proportional to 520.46, 718.36 and 324.20 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.46 : 718.36 = 324.20 : x
  2. Step 2: Convert to fraction form
    520.46/718.36 = 324.20/x
  3. Step 3: Cross multiply
    520.46x = 718.36 × 324.20
  4. Step 4: Simplify right side
    520.46x = 232,887.91
  5. Step 5: Solve for x
    x = 232,887.91/520.46
  6. Step 6: Final answer
    x = 447.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.