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Finding the Fourth Proportional to 643.70, 960.90 and 565.86

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Solution

The fourth proportional to 643.70, 960.90 and 565.86 is: 844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 960.90 = 565.86 : x
  2. Step 2: Convert to fraction form
    643.70/960.90 = 565.86/x
  3. Step 3: Cross multiply
    643.70x = 960.90 × 565.86
  4. Step 4: Simplify right side
    643.70x = 543,734.87
  5. Step 5: Solve for x
    x = 543,734.87/643.70
  6. Step 6: Final answer
    x = 844.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.