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Finding the Fourth Proportional to 502.09, 692.77 and 292.14

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Solution

The fourth proportional to 502.09, 692.77 and 292.14 is: 403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.09 : 692.77 = 292.14 : x
  2. Step 2: Convert to fraction form
    502.09/692.77 = 292.14/x
  3. Step 3: Cross multiply
    502.09x = 692.77 × 292.14
  4. Step 4: Simplify right side
    502.09x = 202,385.83
  5. Step 5: Solve for x
    x = 202,385.83/502.09
  6. Step 6: Final answer
    x = 403.09

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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.