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Finding the Fourth Proportional to 502.34, 692.37 and 382.66

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Solution

The fourth proportional to 502.34, 692.37 and 382.66 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 692.37 = 382.66 : x
  2. Step 2: Convert to fraction form
    502.34/692.37 = 382.66/x
  3. Step 3: Cross multiply
    502.34x = 692.37 × 382.66
  4. Step 4: Simplify right side
    502.34x = 264,940.57
  5. Step 5: Solve for x
    x = 264,940.57/502.34
  6. Step 6: Final answer
    x = 527.42

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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.