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Finding the Fourth Proportional to 572.23, 787.94 and 472.27

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Solution

The fourth proportional to 572.23, 787.94 and 472.27 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.23 : 787.94 = 472.27 : x
  2. Step 2: Convert to fraction form
    572.23/787.94 = 472.27/x
  3. Step 3: Cross multiply
    572.23x = 787.94 × 472.27
  4. Step 4: Simplify right side
    572.23x = 372,120.42
  5. Step 5: Solve for x
    x = 372,120.42/572.23
  6. Step 6: Final answer
    x = 650.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.