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Finding the Fourth Proportional to 800.84, 1,206.82 and 763.76

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Solution

The fourth proportional to 800.84, 1,206.82 and 763.76 is: 1,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,206.82 = 763.76 : x
  2. Step 2: Convert to fraction form
    800.84/1,206.82 = 763.76/x
  3. Step 3: Cross multiply
    800.84x = 1,206.82 × 763.76
  4. Step 4: Simplify right side
    800.84x = 921,720.84
  5. Step 5: Solve for x
    x = 921,720.84/800.84
  6. Step 6: Final answer
    x = 1,150.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.