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Finding the Fourth Proportional to 1,334.17, 2,000.35 and 640.81

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Solution

The fourth proportional to 1,334.17, 2,000.35 and 640.81 is: 960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.17 : 2,000.35 = 640.81 : x
  2. Step 2: Convert to fraction form
    1,334.17/2,000.35 = 640.81/x
  3. Step 3: Cross multiply
    1,334.17x = 2,000.35 × 640.81
  4. Step 4: Simplify right side
    1,334.17x = 1,281,844.28
  5. Step 5: Solve for x
    x = 1,281,844.28/1,334.17
  6. Step 6: Final answer
    x = 960.78

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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.