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Finding the Fourth Proportional to 2,265.89, 3,397.84 and 930.77

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Solution

The fourth proportional to 2,265.89, 3,397.84 and 930.77 is: 1,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.89 : 3,397.84 = 930.77 : x
  2. Step 2: Convert to fraction form
    2,265.89/3,397.84 = 930.77/x
  3. Step 3: Cross multiply
    2,265.89x = 3,397.84 × 930.77
  4. Step 4: Simplify right side
    2,265.89x = 3,162,625.31
  5. Step 5: Solve for x
    x = 3,162,625.31/2,265.89
  6. Step 6: Final answer
    x = 1,395.75

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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.