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Finding the Fourth Proportional to 712.36, 982.62 and 502.24

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Solution

The fourth proportional to 712.36, 982.62 and 502.24 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 982.62 = 502.24 : x
  2. Step 2: Convert to fraction form
    712.36/982.62 = 502.24/x
  3. Step 3: Cross multiply
    712.36x = 982.62 × 502.24
  4. Step 4: Simplify right side
    712.36x = 493,511.07
  5. Step 5: Solve for x
    x = 493,511.07/712.36
  6. Step 6: Final answer
    x = 692.78

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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.