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Finding the Fourth Proportional to 807.66, 1,211.88 and 345.57

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Solution

The fourth proportional to 807.66, 1,211.88 and 345.57 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,211.88 = 345.57 : x
  2. Step 2: Convert to fraction form
    807.66/1,211.88 = 345.57/x
  3. Step 3: Cross multiply
    807.66x = 1,211.88 × 345.57
  4. Step 4: Simplify right side
    807.66x = 418,789.37
  5. Step 5: Solve for x
    x = 418,789.37/807.66
  6. Step 6: Final answer
    x = 518.52

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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.