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Finding the Fourth Proportional to 520.47, 718.00 and 324.05

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Solution

The fourth proportional to 520.47, 718.00 and 324.05 is: 447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 718.00 = 324.05 : x
  2. Step 2: Convert to fraction form
    520.47/718.00 = 324.05/x
  3. Step 3: Cross multiply
    520.47x = 718.00 × 324.05
  4. Step 4: Simplify right side
    520.47x = 232,663.50
  5. Step 5: Solve for x
    x = 232,663.50/520.47
  6. Step 6: Final answer
    x = 447.03

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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.