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Finding the Fourth Proportional to 961.35, 1,439.26 and 564.83

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Solution

The fourth proportional to 961.35, 1,439.26 and 564.83 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.35 : 1,439.26 = 564.83 : x
  2. Step 2: Convert to fraction form
    961.35/1,439.26 = 564.83/x
  3. Step 3: Cross multiply
    961.35x = 1,439.26 × 564.83
  4. Step 4: Simplify right side
    961.35x = 812,934.40
  5. Step 5: Solve for x
    x = 812,934.40/961.35
  6. Step 6: Final answer
    x = 845.62

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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.