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Finding the Fourth Proportional to 640.23, 961.65 and 564.90

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Solution

The fourth proportional to 640.23, 961.65 and 564.90 is: 848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.23 : 961.65 = 564.90 : x
  2. Step 2: Convert to fraction form
    640.23/961.65 = 564.90/x
  3. Step 3: Cross multiply
    640.23x = 961.65 × 564.90
  4. Step 4: Simplify right side
    640.23x = 543,236.09
  5. Step 5: Solve for x
    x = 543,236.09/640.23
  6. Step 6: Final answer
    x = 848.50

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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.