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Finding the Fourth Proportional to 803.05, 1,205.01 and 638.71

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Solution

The fourth proportional to 803.05, 1,205.01 and 638.71 is: 958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.05 : 1,205.01 = 638.71 : x
  2. Step 2: Convert to fraction form
    803.05/1,205.01 = 638.71/x
  3. Step 3: Cross multiply
    803.05x = 1,205.01 × 638.71
  4. Step 4: Simplify right side
    803.05x = 769,648.92
  5. Step 5: Solve for x
    x = 769,648.92/803.05
  6. Step 6: Final answer
    x = 958.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.