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Finding the Fourth Proportional to 950.04, 1,311.29 and 856.62

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Solution

The fourth proportional to 950.04, 1,311.29 and 856.62 is: 1,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,311.29 = 856.62 : x
  2. Step 2: Convert to fraction form
    950.04/1,311.29 = 856.62/x
  3. Step 3: Cross multiply
    950.04x = 1,311.29 × 856.62
  4. Step 4: Simplify right side
    950.04x = 1,123,272.96
  5. Step 5: Solve for x
    x = 1,123,272.96/950.04
  6. Step 6: Final answer
    x = 1,182.34

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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.