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Finding the Fourth Proportional to 2,454.56, 3,681.36 and 722.78

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Solution

The fourth proportional to 2,454.56, 3,681.36 and 722.78 is: 1,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.56 : 3,681.36 = 722.78 : x
  2. Step 2: Convert to fraction form
    2,454.56/3,681.36 = 722.78/x
  3. Step 3: Cross multiply
    2,454.56x = 3,681.36 × 722.78
  4. Step 4: Simplify right side
    2,454.56x = 2,660,813.38
  5. Step 5: Solve for x
    x = 2,660,813.38/2,454.56
  6. Step 6: Final answer
    x = 1,084.03

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1.5x scale

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.