Home / 1,844.29-2,766.38-457.64

Finding the Fourth Proportional to 1,844.29, 2,766.38 and 457.64

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Solution

The fourth proportional to 1,844.29, 2,766.38 and 457.64 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.29 : 2,766.38 = 457.64 : x
  2. Step 2: Convert to fraction form
    1,844.29/2,766.38 = 457.64/x
  3. Step 3: Cross multiply
    1,844.29x = 2,766.38 × 457.64
  4. Step 4: Simplify right side
    1,844.29x = 1,265,990.02
  5. Step 5: Solve for x
    x = 1,265,990.02/1,844.29
  6. Step 6: Final answer
    x = 686.44

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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.