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Finding the Fourth Proportional to 801.89, 1,202.96 and 339.74

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Solution

The fourth proportional to 801.89, 1,202.96 and 339.74 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.89 : 1,202.96 = 339.74 : x
  2. Step 2: Convert to fraction form
    801.89/1,202.96 = 339.74/x
  3. Step 3: Cross multiply
    801.89x = 1,202.96 × 339.74
  4. Step 4: Simplify right side
    801.89x = 408,693.63
  5. Step 5: Solve for x
    x = 408,693.63/801.89
  6. Step 6: Final answer
    x = 509.66

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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.