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Finding the Fourth Proportional to 2,289.68, 3,434.80 and 808.60

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Solution

The fourth proportional to 2,289.68, 3,434.80 and 808.60 is: 1,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.68 : 3,434.80 = 808.60 : x
  2. Step 2: Convert to fraction form
    2,289.68/3,434.80 = 808.60/x
  3. Step 3: Cross multiply
    2,289.68x = 3,434.80 × 808.60
  4. Step 4: Simplify right side
    2,289.68x = 2,777,366.65
  5. Step 5: Solve for x
    x = 2,777,366.65/2,289.68
  6. Step 6: Final answer
    x = 1,212.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.