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Finding the Fourth Proportional to 520.47, 718.30 and 324.02

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Solution

The fourth proportional to 520.47, 718.30 and 324.02 is: 447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 718.30 = 324.02 : x
  2. Step 2: Convert to fraction form
    520.47/718.30 = 324.02/x
  3. Step 3: Cross multiply
    520.47x = 718.30 × 324.02
  4. Step 4: Simplify right side
    520.47x = 232,739.16
  5. Step 5: Solve for x
    x = 232,739.16/520.47
  6. Step 6: Final answer
    x = 447.17

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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.