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Finding the Fourth Proportional to 1,228.87, 1,842.34 and 612.24

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Solution

The fourth proportional to 1,228.87, 1,842.34 and 612.24 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.87 : 1,842.34 = 612.24 : x
  2. Step 2: Convert to fraction form
    1,228.87/1,842.34 = 612.24/x
  3. Step 3: Cross multiply
    1,228.87x = 1,842.34 × 612.24
  4. Step 4: Simplify right side
    1,228.87x = 1,127,954.24
  5. Step 5: Solve for x
    x = 1,127,954.24/1,228.87
  6. Step 6: Final answer
    x = 917.88

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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.