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Finding the Fourth Proportional to 856.13, 1,181.57 and 506.84

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Solution

The fourth proportional to 856.13, 1,181.57 and 506.84 is: 699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,181.57 = 506.84 : x
  2. Step 2: Convert to fraction form
    856.13/1,181.57 = 506.84/x
  3. Step 3: Cross multiply
    856.13x = 1,181.57 × 506.84
  4. Step 4: Simplify right side
    856.13x = 598,858.50
  5. Step 5: Solve for x
    x = 598,858.50/856.13
  6. Step 6: Final answer
    x = 699.50

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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.