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Finding the Fourth Proportional to 523.42, 721.78 and 346.50

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Solution

The fourth proportional to 523.42, 721.78 and 346.50 is: 477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 721.78 = 346.50 : x
  2. Step 2: Convert to fraction form
    523.42/721.78 = 346.50/x
  3. Step 3: Cross multiply
    523.42x = 721.78 × 346.50
  4. Step 4: Simplify right side
    523.42x = 250,096.77
  5. Step 5: Solve for x
    x = 250,096.77/523.42
  6. Step 6: Final answer
    x = 477.81

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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.