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Finding the Fourth Proportional to 801.05, 1,201.88 and 390.13

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Solution

The fourth proportional to 801.05, 1,201.88 and 390.13 is: 585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.05 : 1,201.88 = 390.13 : x
  2. Step 2: Convert to fraction form
    801.05/1,201.88 = 390.13/x
  3. Step 3: Cross multiply
    801.05x = 1,201.88 × 390.13
  4. Step 4: Simplify right side
    801.05x = 468,887.42
  5. Step 5: Solve for x
    x = 468,887.42/801.05
  6. Step 6: Final answer
    x = 585.34

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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.