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Finding the Fourth Proportional to 640.80, 960.30 and 610.56

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Solution

The fourth proportional to 640.80, 960.30 and 610.56 is: 914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.80 : 960.30 = 610.56 : x
  2. Step 2: Convert to fraction form
    640.80/960.30 = 610.56/x
  3. Step 3: Cross multiply
    640.80x = 960.30 × 610.56
  4. Step 4: Simplify right side
    640.80x = 586,320.77
  5. Step 5: Solve for x
    x = 586,320.77/640.80
  6. Step 6: Final answer
    x = 914.98

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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.