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Finding the Fourth Proportional to 796.76, 1,098.96 and 502.28

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Solution

The fourth proportional to 796.76, 1,098.96 and 502.28 is: 692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.76 : 1,098.96 = 502.28 : x
  2. Step 2: Convert to fraction form
    796.76/1,098.96 = 502.28/x
  3. Step 3: Cross multiply
    796.76x = 1,098.96 × 502.28
  4. Step 4: Simplify right side
    796.76x = 551,985.63
  5. Step 5: Solve for x
    x = 551,985.63/796.76
  6. Step 6: Final answer
    x = 692.79

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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.