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Finding the Fourth Proportional to 1,700.43, 2,550.84 and 604.90

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Solution

The fourth proportional to 1,700.43, 2,550.84 and 604.90 is: 907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.43 : 2,550.84 = 604.90 : x
  2. Step 2: Convert to fraction form
    1,700.43/2,550.84 = 604.90/x
  3. Step 3: Cross multiply
    1,700.43x = 2,550.84 × 604.90
  4. Step 4: Simplify right side
    1,700.43x = 1,543,003.12
  5. Step 5: Solve for x
    x = 1,543,003.12/1,700.43
  6. Step 6: Final answer
    x = 907.42

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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.