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Finding the Fourth Proportional to 2,290.92, 3,434.31 and 829.05

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Solution

The fourth proportional to 2,290.92, 3,434.31 and 829.05 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.92 : 3,434.31 = 829.05 : x
  2. Step 2: Convert to fraction form
    2,290.92/3,434.31 = 829.05/x
  3. Step 3: Cross multiply
    2,290.92x = 3,434.31 × 829.05
  4. Step 4: Simplify right side
    2,290.92x = 2,847,214.71
  5. Step 5: Solve for x
    x = 2,847,214.71/2,290.92
  6. Step 6: Final answer
    x = 1,242.83

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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.