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Finding the Fourth Proportional to 796.36, 1,098.85 and 502.03

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Solution

The fourth proportional to 796.36, 1,098.85 and 502.03 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.36 : 1,098.85 = 502.03 : x
  2. Step 2: Convert to fraction form
    796.36/1,098.85 = 502.03/x
  3. Step 3: Cross multiply
    796.36x = 1,098.85 × 502.03
  4. Step 4: Simplify right side
    796.36x = 551,647.66
  5. Step 5: Solve for x
    x = 551,647.66/796.36
  6. Step 6: Final answer
    x = 692.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.