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Finding the Fourth Proportional to 856.21, 1,181.04 and 631.91

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Solution

The fourth proportional to 856.21, 1,181.04 and 631.91 is: 871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.21 : 1,181.04 = 631.91 : x
  2. Step 2: Convert to fraction form
    856.21/1,181.04 = 631.91/x
  3. Step 3: Cross multiply
    856.21x = 1,181.04 × 631.91
  4. Step 4: Simplify right side
    856.21x = 746,313.94
  5. Step 5: Solve for x
    x = 746,313.94/856.21
  6. Step 6: Final answer
    x = 871.65

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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.