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Finding the Fourth Proportional to 869.22, 1,306.58 and 856.49

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Solution

The fourth proportional to 869.22, 1,306.58 and 856.49 is: 1,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.22 : 1,306.58 = 856.49 : x
  2. Step 2: Convert to fraction form
    869.22/1,306.58 = 856.49/x
  3. Step 3: Cross multiply
    869.22x = 1,306.58 × 856.49
  4. Step 4: Simplify right side
    869.22x = 1,119,061.89
  5. Step 5: Solve for x
    x = 1,119,061.89/869.22
  6. Step 6: Final answer
    x = 1,287.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.