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Finding the Fourth Proportional to 2,605.85, 3,909.16 and 756.98

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Solution

The fourth proportional to 2,605.85, 3,909.16 and 756.98 is: 1,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.85 : 3,909.16 = 756.98 : x
  2. Step 2: Convert to fraction form
    2,605.85/3,909.16 = 756.98/x
  3. Step 3: Cross multiply
    2,605.85x = 3,909.16 × 756.98
  4. Step 4: Simplify right side
    2,605.85x = 2,959,155.94
  5. Step 5: Solve for x
    x = 2,959,155.94/2,605.85
  6. Step 6: Final answer
    x = 1,135.58

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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.