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Finding the Fourth Proportional to 523.14, 721.38 and 474

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Solution

The fourth proportional to 523.14, 721.38 and 474 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 721.38 = 474 : x
  2. Step 2: Convert to fraction form
    523.14/721.38 = 474/x
  3. Step 3: Cross multiply
    523.14x = 721.38 × 474
  4. Step 4: Simplify right side
    523.14x = 341,934.12
  5. Step 5: Solve for x
    x = 341,934.12/523.14
  6. Step 6: Final answer
    x = 653.62

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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.