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Finding the Fourth Proportional to 856.72, 1,181.82 and 507.16

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Solution

The fourth proportional to 856.72, 1,181.82 and 507.16 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.72 : 1,181.82 = 507.16 : x
  2. Step 2: Convert to fraction form
    856.72/1,181.82 = 507.16/x
  3. Step 3: Cross multiply
    856.72x = 1,181.82 × 507.16
  4. Step 4: Simplify right side
    856.72x = 599,371.83
  5. Step 5: Solve for x
    x = 599,371.83/856.72
  6. Step 6: Final answer
    x = 699.61

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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.