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Finding the Fourth Proportional to 2,340.66, 3,511.07 and 585.66

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Solution

The fourth proportional to 2,340.66, 3,511.07 and 585.66 is: 878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.66 : 3,511.07 = 585.66 : x
  2. Step 2: Convert to fraction form
    2,340.66/3,511.07 = 585.66/x
  3. Step 3: Cross multiply
    2,340.66x = 3,511.07 × 585.66
  4. Step 4: Simplify right side
    2,340.66x = 2,056,290.33
  5. Step 5: Solve for x
    x = 2,056,290.33/2,340.66
  6. Step 6: Final answer
    x = 878.51

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1.5x scale

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.