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Finding the Fourth Proportional to 640.46, 961.36 and 567.80

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Solution

The fourth proportional to 640.46, 961.36 and 567.80 is: 852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.46 : 961.36 = 567.80 : x
  2. Step 2: Convert to fraction form
    640.46/961.36 = 567.80/x
  3. Step 3: Cross multiply
    640.46x = 961.36 × 567.80
  4. Step 4: Simplify right side
    640.46x = 545,858.79
  5. Step 5: Solve for x
    x = 545,858.79/640.46
  6. Step 6: Final answer
    x = 852.29

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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.