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Finding the Fourth Proportional to 834.99, 1,253.93 and 512.25

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Solution

The fourth proportional to 834.99, 1,253.93 and 512.25 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.99 : 1,253.93 = 512.25 : x
  2. Step 2: Convert to fraction form
    834.99/1,253.93 = 512.25/x
  3. Step 3: Cross multiply
    834.99x = 1,253.93 × 512.25
  4. Step 4: Simplify right side
    834.99x = 642,325.64
  5. Step 5: Solve for x
    x = 642,325.64/834.99
  6. Step 6: Final answer
    x = 769.26

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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.