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Finding the Fourth Proportional to 767.98, 1,151.71 and 335.02

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Solution

The fourth proportional to 767.98, 1,151.71 and 335.02 is: 502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.98 : 1,151.71 = 335.02 : x
  2. Step 2: Convert to fraction form
    767.98/1,151.71 = 335.02/x
  3. Step 3: Cross multiply
    767.98x = 1,151.71 × 335.02
  4. Step 4: Simplify right side
    767.98x = 385,845.88
  5. Step 5: Solve for x
    x = 385,845.88/767.98
  6. Step 6: Final answer
    x = 502.42

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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.