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Finding the Fourth Proportional to 801.67, 1,202.65 and 314.69

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Solution

The fourth proportional to 801.67, 1,202.65 and 314.69 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.67 : 1,202.65 = 314.69 : x
  2. Step 2: Convert to fraction form
    801.67/1,202.65 = 314.69/x
  3. Step 3: Cross multiply
    801.67x = 1,202.65 × 314.69
  4. Step 4: Simplify right side
    801.67x = 378,461.93
  5. Step 5: Solve for x
    x = 378,461.93/801.67
  6. Step 6: Final answer
    x = 472.09

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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.