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Finding the Fourth Proportional to 873.21, 1,311.84 and 565.68

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Solution

The fourth proportional to 873.21, 1,311.84 and 565.68 is: 849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.21 : 1,311.84 = 565.68 : x
  2. Step 2: Convert to fraction form
    873.21/1,311.84 = 565.68/x
  3. Step 3: Cross multiply
    873.21x = 1,311.84 × 565.68
  4. Step 4: Simplify right side
    873.21x = 742,081.65
  5. Step 5: Solve for x
    x = 742,081.65/873.21
  6. Step 6: Final answer
    x = 849.83

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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.