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Finding the Fourth Proportional to 553.91, 827.30 and 502.88

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Solution

The fourth proportional to 553.91, 827.30 and 502.88 is: 751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.91 : 827.30 = 502.88 : x
  2. Step 2: Convert to fraction form
    553.91/827.30 = 502.88/x
  3. Step 3: Cross multiply
    553.91x = 827.30 × 502.88
  4. Step 4: Simplify right side
    553.91x = 416,029.74
  5. Step 5: Solve for x
    x = 416,029.74/553.91
  6. Step 6: Final answer
    x = 751.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.