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Finding the Fourth Proportional to 1,333.52, 2,000.48 and 640.06

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Solution

The fourth proportional to 1,333.52, 2,000.48 and 640.06 is: 960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.52 : 2,000.48 = 640.06 : x
  2. Step 2: Convert to fraction form
    1,333.52/2,000.48 = 640.06/x
  3. Step 3: Cross multiply
    1,333.52x = 2,000.48 × 640.06
  4. Step 4: Simplify right side
    1,333.52x = 1,280,422.63
  5. Step 5: Solve for x
    x = 1,280,422.63/1,333.52
  6. Step 6: Final answer
    x = 960.18

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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.