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Finding the Fourth Proportional to 502.48, 692.94 and 305.92

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Solution

The fourth proportional to 502.48, 692.94 and 305.92 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 692.94 = 305.92 : x
  2. Step 2: Convert to fraction form
    502.48/692.94 = 305.92/x
  3. Step 3: Cross multiply
    502.48x = 692.94 × 305.92
  4. Step 4: Simplify right side
    502.48x = 211,984.20
  5. Step 5: Solve for x
    x = 211,984.20/502.48
  6. Step 6: Final answer
    x = 421.88

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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.