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Finding the Fourth Proportional to 810.31, 1,214.43 and 347.97

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Solution

The fourth proportional to 810.31, 1,214.43 and 347.97 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.31 : 1,214.43 = 347.97 : x
  2. Step 2: Convert to fraction form
    810.31/1,214.43 = 347.97/x
  3. Step 3: Cross multiply
    810.31x = 1,214.43 × 347.97
  4. Step 4: Simplify right side
    810.31x = 422,585.21
  5. Step 5: Solve for x
    x = 422,585.21/810.31
  6. Step 6: Final answer
    x = 521.51

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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.