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Finding the Fourth Proportional to 834.66, 1,250.64 and 509.22

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Solution

The fourth proportional to 834.66, 1,250.64 and 509.22 is: 763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,250.64 = 509.22 : x
  2. Step 2: Convert to fraction form
    834.66/1,250.64 = 509.22/x
  3. Step 3: Cross multiply
    834.66x = 1,250.64 × 509.22
  4. Step 4: Simplify right side
    834.66x = 636,850.90
  5. Step 5: Solve for x
    x = 636,850.90/834.66
  6. Step 6: Final answer
    x = 763.01

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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.