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Finding the Fourth Proportional to 856.14, 1,181.09 and 502.09

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Solution

The fourth proportional to 856.14, 1,181.09 and 502.09 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.14 : 1,181.09 = 502.09 : x
  2. Step 2: Convert to fraction form
    856.14/1,181.09 = 502.09/x
  3. Step 3: Cross multiply
    856.14x = 1,181.09 × 502.09
  4. Step 4: Simplify right side
    856.14x = 593,010.83
  5. Step 5: Solve for x
    x = 593,010.83/856.14
  6. Step 6: Final answer
    x = 692.65

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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.