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Finding the Fourth Proportional to 502.09, 692.68 and 315.52

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Solution

The fourth proportional to 502.09, 692.68 and 315.52 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.09 : 692.68 = 315.52 : x
  2. Step 2: Convert to fraction form
    502.09/692.68 = 315.52/x
  3. Step 3: Cross multiply
    502.09x = 692.68 × 315.52
  4. Step 4: Simplify right side
    502.09x = 218,554.39
  5. Step 5: Solve for x
    x = 218,554.39/502.09
  6. Step 6: Final answer
    x = 435.29

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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.