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Finding the Fourth Proportional to 650.20, 896.97 and 472.89

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Solution

The fourth proportional to 650.20, 896.97 and 472.89 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 896.97 = 472.89 : x
  2. Step 2: Convert to fraction form
    650.20/896.97 = 472.89/x
  3. Step 3: Cross multiply
    650.20x = 896.97 × 472.89
  4. Step 4: Simplify right side
    650.20x = 424,168.14
  5. Step 5: Solve for x
    x = 424,168.14/650.20
  6. Step 6: Final answer
    x = 652.37

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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.