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Finding the Fourth Proportional to 2,284.43, 3,426.62 and 553.05

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Solution

The fourth proportional to 2,284.43, 3,426.62 and 553.05 is: 829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.43 : 3,426.62 = 553.05 : x
  2. Step 2: Convert to fraction form
    2,284.43/3,426.62 = 553.05/x
  3. Step 3: Cross multiply
    2,284.43x = 3,426.62 × 553.05
  4. Step 4: Simplify right side
    2,284.43x = 1,895,089.43
  5. Step 5: Solve for x
    x = 1,895,089.43/2,284.43
  6. Step 6: Final answer
    x = 829.57

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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.