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Finding the Fourth Proportional to 523.19, 780.36 and 441.46

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Solution

The fourth proportional to 523.19, 780.36 and 441.46 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 780.36 = 441.46 : x
  2. Step 2: Convert to fraction form
    523.19/780.36 = 441.46/x
  3. Step 3: Cross multiply
    523.19x = 780.36 × 441.46
  4. Step 4: Simplify right side
    523.19x = 344,497.05
  5. Step 5: Solve for x
    x = 344,497.05/523.19
  6. Step 6: Final answer
    x = 658.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.