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Finding the Fourth Proportional to 806.84, 1,210.39 and 344.63

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Solution

The fourth proportional to 806.84, 1,210.39 and 344.63 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.84 : 1,210.39 = 344.63 : x
  2. Step 2: Convert to fraction form
    806.84/1,210.39 = 344.63/x
  3. Step 3: Cross multiply
    806.84x = 1,210.39 × 344.63
  4. Step 4: Simplify right side
    806.84x = 417,131.08
  5. Step 5: Solve for x
    x = 417,131.08/806.84
  6. Step 6: Final answer
    x = 516.99

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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.