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Finding the Fourth Proportional to 801.91, 1,203.14 and 314.70

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Solution

The fourth proportional to 801.91, 1,203.14 and 314.70 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.91 : 1,203.14 = 314.70 : x
  2. Step 2: Convert to fraction form
    801.91/1,203.14 = 314.70/x
  3. Step 3: Cross multiply
    801.91x = 1,203.14 × 314.70
  4. Step 4: Simplify right side
    801.91x = 378,628.16
  5. Step 5: Solve for x
    x = 378,628.16/801.91
  6. Step 6: Final answer
    x = 472.16

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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.