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Finding the Fourth Proportional to 1,228.79, 1,842.01 and 788.81

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Solution

The fourth proportional to 1,228.79, 1,842.01 and 788.81 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.79 : 1,842.01 = 788.81 : x
  2. Step 2: Convert to fraction form
    1,228.79/1,842.01 = 788.81/x
  3. Step 3: Cross multiply
    1,228.79x = 1,842.01 × 788.81
  4. Step 4: Simplify right side
    1,228.79x = 1,452,998.54
  5. Step 5: Solve for x
    x = 1,452,998.54/1,228.79
  6. Step 6: Final answer
    x = 1,182.46

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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.