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Finding the Fourth Proportional to 522.27, 787.31 and 487.89

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Solution

The fourth proportional to 522.27, 787.31 and 487.89 is: 735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 787.31 = 487.89 : x
  2. Step 2: Convert to fraction form
    522.27/787.31 = 487.89/x
  3. Step 3: Cross multiply
    522.27x = 787.31 × 487.89
  4. Step 4: Simplify right side
    522.27x = 384,118.24
  5. Step 5: Solve for x
    x = 384,118.24/522.27
  6. Step 6: Final answer
    x = 735.48

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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.