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Finding the Fourth Proportional to 803.26, 1,203.39 and 640.75

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Solution

The fourth proportional to 803.26, 1,203.39 and 640.75 is: 959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.26 : 1,203.39 = 640.75 : x
  2. Step 2: Convert to fraction form
    803.26/1,203.39 = 640.75/x
  3. Step 3: Cross multiply
    803.26x = 1,203.39 × 640.75
  4. Step 4: Simplify right side
    803.26x = 771,072.14
  5. Step 5: Solve for x
    x = 771,072.14/803.26
  6. Step 6: Final answer
    x = 959.93

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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.