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Finding the Fourth Proportional to 800.75, 1,203.15 and 768.35

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Solution

The fourth proportional to 800.75, 1,203.15 and 768.35 is: 1,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.75 : 1,203.15 = 768.35 : x
  2. Step 2: Convert to fraction form
    800.75/1,203.15 = 768.35/x
  3. Step 3: Cross multiply
    800.75x = 1,203.15 × 768.35
  4. Step 4: Simplify right side
    800.75x = 924,434.29
  5. Step 5: Solve for x
    x = 924,434.29/800.75
  6. Step 6: Final answer
    x = 1,154.47

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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.