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Finding the Fourth Proportional to 523.06, 787.32 and 472.79

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Solution

The fourth proportional to 523.06, 787.32 and 472.79 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 787.32 = 472.79 : x
  2. Step 2: Convert to fraction form
    523.06/787.32 = 472.79/x
  3. Step 3: Cross multiply
    523.06x = 787.32 × 472.79
  4. Step 4: Simplify right side
    523.06x = 372,234.56
  5. Step 5: Solve for x
    x = 372,234.56/523.06
  6. Step 6: Final answer
    x = 711.65

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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.