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Finding the Fourth Proportional to 834.29, 1,249.51 and 509.07

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Solution

The fourth proportional to 834.29, 1,249.51 and 509.07 is: 762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.29 : 1,249.51 = 509.07 : x
  2. Step 2: Convert to fraction form
    834.29/1,249.51 = 509.07/x
  3. Step 3: Cross multiply
    834.29x = 1,249.51 × 509.07
  4. Step 4: Simplify right side
    834.29x = 636,088.06
  5. Step 5: Solve for x
    x = 636,088.06/834.29
  6. Step 6: Final answer
    x = 762.43

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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.