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Finding the Fourth Proportional to 869.92, 1,305.34 and 383.31

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Solution

The fourth proportional to 869.92, 1,305.34 and 383.31 is: 575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.92 : 1,305.34 = 383.31 : x
  2. Step 2: Convert to fraction form
    869.92/1,305.34 = 383.31/x
  3. Step 3: Cross multiply
    869.92x = 1,305.34 × 383.31
  4. Step 4: Simplify right side
    869.92x = 500,349.88
  5. Step 5: Solve for x
    x = 500,349.88/869.92
  6. Step 6: Final answer
    x = 575.17

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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.