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Finding the Fourth Proportional to 523.53, 787.92 and 394.20

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Solution

The fourth proportional to 523.53, 787.92 and 394.20 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 787.92 = 394.20 : x
  2. Step 2: Convert to fraction form
    523.53/787.92 = 394.20/x
  3. Step 3: Cross multiply
    523.53x = 787.92 × 394.20
  4. Step 4: Simplify right side
    523.53x = 310,598.06
  5. Step 5: Solve for x
    x = 310,598.06/523.53
  6. Step 6: Final answer
    x = 593.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.