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Finding the Fourth Proportional to 801.44, 1,202.63 and 339.19

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Solution

The fourth proportional to 801.44, 1,202.63 and 339.19 is: 508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.44 : 1,202.63 = 339.19 : x
  2. Step 2: Convert to fraction form
    801.44/1,202.63 = 339.19/x
  3. Step 3: Cross multiply
    801.44x = 1,202.63 × 339.19
  4. Step 4: Simplify right side
    801.44x = 407,920.07
  5. Step 5: Solve for x
    x = 407,920.07/801.44
  6. Step 6: Final answer
    x = 508.98

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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.