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Finding the Fourth Proportional to 796.82, 1,100.03 and 502.25

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Solution

The fourth proportional to 796.82, 1,100.03 and 502.25 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,100.03 = 502.25 : x
  2. Step 2: Convert to fraction form
    796.82/1,100.03 = 502.25/x
  3. Step 3: Cross multiply
    796.82x = 1,100.03 × 502.25
  4. Step 4: Simplify right side
    796.82x = 552,482.06
  5. Step 5: Solve for x
    x = 552,482.06/796.82
  6. Step 6: Final answer
    x = 693.36

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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.