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Finding the Fourth Proportional to 523.59, 784.56 and 279.78

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Solution

The fourth proportional to 523.59, 784.56 and 279.78 is: 419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 784.56 = 279.78 : x
  2. Step 2: Convert to fraction form
    523.59/784.56 = 279.78/x
  3. Step 3: Cross multiply
    523.59x = 784.56 × 279.78
  4. Step 4: Simplify right side
    523.59x = 219,504.20
  5. Step 5: Solve for x
    x = 219,504.20/523.59
  6. Step 6: Final answer
    x = 419.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.