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Finding the Fourth Proportional to 2,260.68, 3,390.91 and 617.19

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Solution

The fourth proportional to 2,260.68, 3,390.91 and 617.19 is: 925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.68 : 3,390.91 = 617.19 : x
  2. Step 2: Convert to fraction form
    2,260.68/3,390.91 = 617.19/x
  3. Step 3: Cross multiply
    2,260.68x = 3,390.91 × 617.19
  4. Step 4: Simplify right side
    2,260.68x = 2,092,834.20
  5. Step 5: Solve for x
    x = 2,092,834.20/2,260.68
  6. Step 6: Final answer
    x = 925.75

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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.