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Finding the Fourth Proportional to 523.80, 782.40 and 441.78

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Solution

The fourth proportional to 523.80, 782.40 and 441.78 is: 659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 782.40 = 441.78 : x
  2. Step 2: Convert to fraction form
    523.80/782.40 = 441.78/x
  3. Step 3: Cross multiply
    523.80x = 782.40 × 441.78
  4. Step 4: Simplify right side
    523.80x = 345,648.67
  5. Step 5: Solve for x
    x = 345,648.67/523.80
  6. Step 6: Final answer
    x = 659.89

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1.5x scale

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.