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Finding the Fourth Proportional to 502.05, 692.88 and 315.69

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Solution

The fourth proportional to 502.05, 692.88 and 315.69 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.05 : 692.88 = 315.69 : x
  2. Step 2: Convert to fraction form
    502.05/692.88 = 315.69/x
  3. Step 3: Cross multiply
    502.05x = 692.88 × 315.69
  4. Step 4: Simplify right side
    502.05x = 218,735.29
  5. Step 5: Solve for x
    x = 218,735.29/502.05
  6. Step 6: Final answer
    x = 435.68

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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.