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Finding the Fourth Proportional to 834.64, 1,149.78 and 585.46

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Solution

The fourth proportional to 834.64, 1,149.78 and 585.46 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.64 : 1,149.78 = 585.46 : x
  2. Step 2: Convert to fraction form
    834.64/1,149.78 = 585.46/x
  3. Step 3: Cross multiply
    834.64x = 1,149.78 × 585.46
  4. Step 4: Simplify right side
    834.64x = 673,150.20
  5. Step 5: Solve for x
    x = 673,150.20/834.64
  6. Step 6: Final answer
    x = 806.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.