Home / 1,454.27-2,182.73-761.40

Finding the Fourth Proportional to 1,454.27, 2,182.73 and 761.40

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Solution

The fourth proportional to 1,454.27, 2,182.73 and 761.40 is: 1,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.27 : 2,182.73 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,454.27/2,182.73 = 761.40/x
  3. Step 3: Cross multiply
    1,454.27x = 2,182.73 × 761.40
  4. Step 4: Simplify right side
    1,454.27x = 1,661,926.82
  5. Step 5: Solve for x
    x = 1,661,926.82/1,454.27
  6. Step 6: Final answer
    x = 1,142.80

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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.