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Finding the Fourth Proportional to 806.96, 1,210.61 and 344.75

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Solution

The fourth proportional to 806.96, 1,210.61 and 344.75 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,210.61 = 344.75 : x
  2. Step 2: Convert to fraction form
    806.96/1,210.61 = 344.75/x
  3. Step 3: Cross multiply
    806.96x = 1,210.61 × 344.75
  4. Step 4: Simplify right side
    806.96x = 417,357.80
  5. Step 5: Solve for x
    x = 417,357.80/806.96
  6. Step 6: Final answer
    x = 517.20

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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.