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Finding the Fourth Proportional to 807.70, 1,212.06 and 345.48

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Solution

The fourth proportional to 807.70, 1,212.06 and 345.48 is: 518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.70 : 1,212.06 = 345.48 : x
  2. Step 2: Convert to fraction form
    807.70/1,212.06 = 345.48/x
  3. Step 3: Cross multiply
    807.70x = 1,212.06 × 345.48
  4. Step 4: Simplify right side
    807.70x = 418,742.49
  5. Step 5: Solve for x
    x = 418,742.49/807.70
  6. Step 6: Final answer
    x = 518.44

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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.