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Finding the Fourth Proportional to 801.55, 1,201.38 and 384.83

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Solution

The fourth proportional to 801.55, 1,201.38 and 384.83 is: 576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.55 : 1,201.38 = 384.83 : x
  2. Step 2: Convert to fraction form
    801.55/1,201.38 = 384.83/x
  3. Step 3: Cross multiply
    801.55x = 1,201.38 × 384.83
  4. Step 4: Simplify right side
    801.55x = 462,327.07
  5. Step 5: Solve for x
    x = 462,327.07/801.55
  6. Step 6: Final answer
    x = 576.79

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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.