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Finding the Fourth Proportional to 807.98, 1,206.16 and 775.58

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Solution

The fourth proportional to 807.98, 1,206.16 and 775.58 is: 1,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.98 : 1,206.16 = 775.58 : x
  2. Step 2: Convert to fraction form
    807.98/1,206.16 = 775.58/x
  3. Step 3: Cross multiply
    807.98x = 1,206.16 × 775.58
  4. Step 4: Simplify right side
    807.98x = 935,469.69
  5. Step 5: Solve for x
    x = 935,469.69/807.98
  6. Step 6: Final answer
    x = 1,157.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.