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Finding the Fourth Proportional to 650.42, 901.35 and 638.11

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Solution

The fourth proportional to 650.42, 901.35 and 638.11 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 901.35 = 638.11 : x
  2. Step 2: Convert to fraction form
    650.42/901.35 = 638.11/x
  3. Step 3: Cross multiply
    650.42x = 901.35 × 638.11
  4. Step 4: Simplify right side
    650.42x = 575,161.58
  5. Step 5: Solve for x
    x = 575,161.58/650.42
  6. Step 6: Final answer
    x = 884.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.