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Finding the Fourth Proportional to 810.92, 1,216.29 and 502.82

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Solution

The fourth proportional to 810.92, 1,216.29 and 502.82 is: 754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.92 : 1,216.29 = 502.82 : x
  2. Step 2: Convert to fraction form
    810.92/1,216.29 = 502.82/x
  3. Step 3: Cross multiply
    810.92x = 1,216.29 × 502.82
  4. Step 4: Simplify right side
    810.92x = 611,575.30
  5. Step 5: Solve for x
    x = 611,575.30/810.92
  6. Step 6: Final answer
    x = 754.17

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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.