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Finding the Fourth Proportional to 638.96, 881.69 and 369.83

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Solution

The fourth proportional to 638.96, 881.69 and 369.83 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 881.69 = 369.83 : x
  2. Step 2: Convert to fraction form
    638.96/881.69 = 369.83/x
  3. Step 3: Cross multiply
    638.96x = 881.69 × 369.83
  4. Step 4: Simplify right side
    638.96x = 326,071.50
  5. Step 5: Solve for x
    x = 326,071.50/638.96
  6. Step 6: Final answer
    x = 510.32

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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.