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Finding the Fourth Proportional to 801.14, 1,201.55 and 314.10

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Solution

The fourth proportional to 801.14, 1,201.55 and 314.10 is: 471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.14 : 1,201.55 = 314.10 : x
  2. Step 2: Convert to fraction form
    801.14/1,201.55 = 314.10/x
  3. Step 3: Cross multiply
    801.14x = 1,201.55 × 314.10
  4. Step 4: Simplify right side
    801.14x = 377,405.28
  5. Step 5: Solve for x
    x = 377,405.28/801.14
  6. Step 6: Final answer
    x = 471.09

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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.