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Finding the Fourth Proportional to 1,755.92, 2,633.90 and 457.40

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Solution

The fourth proportional to 1,755.92, 2,633.90 and 457.40 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.92 : 2,633.90 = 457.40 : x
  2. Step 2: Convert to fraction form
    1,755.92/2,633.90 = 457.40/x
  3. Step 3: Cross multiply
    1,755.92x = 2,633.90 × 457.40
  4. Step 4: Simplify right side
    1,755.92x = 1,204,745.86
  5. Step 5: Solve for x
    x = 1,204,745.86/1,755.92
  6. Step 6: Final answer
    x = 686.11

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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.