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Finding the Fourth Proportional to 854.79, 1,179.23 and 523.10

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Solution

The fourth proportional to 854.79, 1,179.23 and 523.10 is: 721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.79 : 1,179.23 = 523.10 : x
  2. Step 2: Convert to fraction form
    854.79/1,179.23 = 523.10/x
  3. Step 3: Cross multiply
    854.79x = 1,179.23 × 523.10
  4. Step 4: Simplify right side
    854.79x = 616,846.70
  5. Step 5: Solve for x
    x = 616,846.70/854.79
  6. Step 6: Final answer
    x = 721.64

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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.