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Finding the Fourth Proportional to 1,647.41, 2,471.17 and 722.50

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Solution

The fourth proportional to 1,647.41, 2,471.17 and 722.50 is: 1,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.41 : 2,471.17 = 722.50 : x
  2. Step 2: Convert to fraction form
    1,647.41/2,471.17 = 722.50/x
  3. Step 3: Cross multiply
    1,647.41x = 2,471.17 × 722.50
  4. Step 4: Simplify right side
    1,647.41x = 1,785,420.33
  5. Step 5: Solve for x
    x = 1,785,420.33/1,647.41
  6. Step 6: Final answer
    x = 1,083.77

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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.