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Finding the Fourth Proportional to 1,333.49, 2,001.63 and 640.75

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Solution

The fourth proportional to 1,333.49, 2,001.63 and 640.75 is: 961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.49 : 2,001.63 = 640.75 : x
  2. Step 2: Convert to fraction form
    1,333.49/2,001.63 = 640.75/x
  3. Step 3: Cross multiply
    1,333.49x = 2,001.63 × 640.75
  4. Step 4: Simplify right side
    1,333.49x = 1,282,544.42
  5. Step 5: Solve for x
    x = 1,282,544.42/1,333.49
  6. Step 6: Final answer
    x = 961.80

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1.5x scale

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.