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Finding the Fourth Proportional to 640.26, 961.20 and 597.20

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Solution

The fourth proportional to 640.26, 961.20 and 597.20 is: 896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.26 : 961.20 = 597.20 : x
  2. Step 2: Convert to fraction form
    640.26/961.20 = 597.20/x
  3. Step 3: Cross multiply
    640.26x = 961.20 × 597.20
  4. Step 4: Simplify right side
    640.26x = 574,028.64
  5. Step 5: Solve for x
    x = 574,028.64/640.26
  6. Step 6: Final answer
    x = 896.56

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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.