Home / 1,844.28-2,766.40-457.58

Finding the Fourth Proportional to 1,844.28, 2,766.40 and 457.58

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Solution

The fourth proportional to 1,844.28, 2,766.40 and 457.58 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.28 : 2,766.40 = 457.58 : x
  2. Step 2: Convert to fraction form
    1,844.28/2,766.40 = 457.58/x
  3. Step 3: Cross multiply
    1,844.28x = 2,766.40 × 457.58
  4. Step 4: Simplify right side
    1,844.28x = 1,265,849.31
  5. Step 5: Solve for x
    x = 1,265,849.31/1,844.28
  6. Step 6: Final answer
    x = 686.37

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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.