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Finding the Fourth Proportional to 2,366.50, 3,548.65 and 806.08

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Solution

The fourth proportional to 2,366.50, 3,548.65 and 806.08 is: 1,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.50 : 3,548.65 = 806.08 : x
  2. Step 2: Convert to fraction form
    2,366.50/3,548.65 = 806.08/x
  3. Step 3: Cross multiply
    2,366.50x = 3,548.65 × 806.08
  4. Step 4: Simplify right side
    2,366.50x = 2,860,495.79
  5. Step 5: Solve for x
    x = 2,860,495.79/2,366.50
  6. Step 6: Final answer
    x = 1,208.75

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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.