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Finding the Fourth Proportional to 523.07, 781.60 and 398.99

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Solution

The fourth proportional to 523.07, 781.60 and 398.99 is: 596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 781.60 = 398.99 : x
  2. Step 2: Convert to fraction form
    523.07/781.60 = 398.99/x
  3. Step 3: Cross multiply
    523.07x = 781.60 × 398.99
  4. Step 4: Simplify right side
    523.07x = 311,850.58
  5. Step 5: Solve for x
    x = 311,850.58/523.07
  6. Step 6: Final answer
    x = 596.19

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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.