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Finding the Fourth Proportional to 528.03, 787.38 and 523.43

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Solution

The fourth proportional to 528.03, 787.38 and 523.43 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.03 : 787.38 = 523.43 : x
  2. Step 2: Convert to fraction form
    528.03/787.38 = 523.43/x
  3. Step 3: Cross multiply
    528.03x = 787.38 × 523.43
  4. Step 4: Simplify right side
    528.03x = 412,134.38
  5. Step 5: Solve for x
    x = 412,134.38/528.03
  6. Step 6: Final answer
    x = 780.51

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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.