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Finding the Fourth Proportional to 807.49, 1,211.24 and 768.14

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Solution

The fourth proportional to 807.49, 1,211.24 and 768.14 is: 1,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.49 : 1,211.24 = 768.14 : x
  2. Step 2: Convert to fraction form
    807.49/1,211.24 = 768.14/x
  3. Step 3: Cross multiply
    807.49x = 1,211.24 × 768.14
  4. Step 4: Simplify right side
    807.49x = 930,401.89
  5. Step 5: Solve for x
    x = 930,401.89/807.49
  6. Step 6: Final answer
    x = 1,152.21

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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.