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Finding the Fourth Proportional to 639.96, 883.14 and 500.22

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Solution

The fourth proportional to 639.96, 883.14 and 500.22 is: 690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.96 : 883.14 = 500.22 : x
  2. Step 2: Convert to fraction form
    639.96/883.14 = 500.22/x
  3. Step 3: Cross multiply
    639.96x = 883.14 × 500.22
  4. Step 4: Simplify right side
    639.96x = 441,764.29
  5. Step 5: Solve for x
    x = 441,764.29/639.96
  6. Step 6: Final answer
    x = 690.30

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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.