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Finding the Fourth Proportional to 638.69, 881.47 and 462.23

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Solution

The fourth proportional to 638.69, 881.47 and 462.23 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.69 : 881.47 = 462.23 : x
  2. Step 2: Convert to fraction form
    638.69/881.47 = 462.23/x
  3. Step 3: Cross multiply
    638.69x = 881.47 × 462.23
  4. Step 4: Simplify right side
    638.69x = 407,441.35
  5. Step 5: Solve for x
    x = 407,441.35/638.69
  6. Step 6: Final answer
    x = 637.94

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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.