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Finding the Fourth Proportional to 520.99, 719.10 and 324.38

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Solution

The fourth proportional to 520.99, 719.10 and 324.38 is: 447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.99 : 719.10 = 324.38 : x
  2. Step 2: Convert to fraction form
    520.99/719.10 = 324.38/x
  3. Step 3: Cross multiply
    520.99x = 719.10 × 324.38
  4. Step 4: Simplify right side
    520.99x = 233,261.66
  5. Step 5: Solve for x
    x = 233,261.66/520.99
  6. Step 6: Final answer
    x = 447.73

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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.