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Finding the Fourth Proportional to 834.58, 1,150.50 and 585.15

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Solution

The fourth proportional to 834.58, 1,150.50 and 585.15 is: 806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.58 : 1,150.50 = 585.15 : x
  2. Step 2: Convert to fraction form
    834.58/1,150.50 = 585.15/x
  3. Step 3: Cross multiply
    834.58x = 1,150.50 × 585.15
  4. Step 4: Simplify right side
    834.58x = 673,215.08
  5. Step 5: Solve for x
    x = 673,215.08/834.58
  6. Step 6: Final answer
    x = 806.65

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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.