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Finding the Fourth Proportional to 640.40, 961.75 and 588.94

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Solution

The fourth proportional to 640.40, 961.75 and 588.94 is: 884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.40 : 961.75 = 588.94 : x
  2. Step 2: Convert to fraction form
    640.40/961.75 = 588.94/x
  3. Step 3: Cross multiply
    640.40x = 961.75 × 588.94
  4. Step 4: Simplify right side
    640.40x = 566,413.05
  5. Step 5: Solve for x
    x = 566,413.05/640.40
  6. Step 6: Final answer
    x = 884.47

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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.