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Finding the Fourth Proportional to 1,454.78, 2,180.05 and 723.35

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Solution

The fourth proportional to 1,454.78, 2,180.05 and 723.35 is: 1,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.78 : 2,180.05 = 723.35 : x
  2. Step 2: Convert to fraction form
    1,454.78/2,180.05 = 723.35/x
  3. Step 3: Cross multiply
    1,454.78x = 2,180.05 × 723.35
  4. Step 4: Simplify right side
    1,454.78x = 1,576,942.81
  5. Step 5: Solve for x
    x = 1,576,942.81/1,454.78
  6. Step 6: Final answer
    x = 1,083.97

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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.