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Finding the Fourth Proportional to 834.79, 1,249.54 and 468.46

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Solution

The fourth proportional to 834.79, 1,249.54 and 468.46 is: 701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.79 : 1,249.54 = 468.46 : x
  2. Step 2: Convert to fraction form
    834.79/1,249.54 = 468.46/x
  3. Step 3: Cross multiply
    834.79x = 1,249.54 × 468.46
  4. Step 4: Simplify right side
    834.79x = 585,359.51
  5. Step 5: Solve for x
    x = 585,359.51/834.79
  6. Step 6: Final answer
    x = 701.21

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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.