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Finding the Fourth Proportional to 524.30, 723.83 and 398.97

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Solution

The fourth proportional to 524.30, 723.83 and 398.97 is: 550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 723.83 = 398.97 : x
  2. Step 2: Convert to fraction form
    524.30/723.83 = 398.97/x
  3. Step 3: Cross multiply
    524.30x = 723.83 × 398.97
  4. Step 4: Simplify right side
    524.30x = 288,784.46
  5. Step 5: Solve for x
    x = 288,784.46/524.30
  6. Step 6: Final answer
    x = 550.81

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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.