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Finding the Fourth Proportional to 834.39, 1,149.44 and 585.23

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Solution

The fourth proportional to 834.39, 1,149.44 and 585.23 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.39 : 1,149.44 = 585.23 : x
  2. Step 2: Convert to fraction form
    834.39/1,149.44 = 585.23/x
  3. Step 3: Cross multiply
    834.39x = 1,149.44 × 585.23
  4. Step 4: Simplify right side
    834.39x = 672,678.10
  5. Step 5: Solve for x
    x = 672,678.10/834.39
  6. Step 6: Final answer
    x = 806.19

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Double scale
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1.5x scale

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.