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Finding the Fourth Proportional to 523.88, 723.56 and 348.92

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Solution

The fourth proportional to 523.88, 723.56 and 348.92 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 723.56 = 348.92 : x
  2. Step 2: Convert to fraction form
    523.88/723.56 = 348.92/x
  3. Step 3: Cross multiply
    523.88x = 723.56 × 348.92
  4. Step 4: Simplify right side
    523.88x = 252,464.56
  5. Step 5: Solve for x
    x = 252,464.56/523.88
  6. Step 6: Final answer
    x = 481.91

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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.