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Finding the Fourth Proportional to 2,284.64, 3,426.93 and 553.25

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Solution

The fourth proportional to 2,284.64, 3,426.93 and 553.25 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.64 : 3,426.93 = 553.25 : x
  2. Step 2: Convert to fraction form
    2,284.64/3,426.93 = 553.25/x
  3. Step 3: Cross multiply
    2,284.64x = 3,426.93 × 553.25
  4. Step 4: Simplify right side
    2,284.64x = 1,895,949.02
  5. Step 5: Solve for x
    x = 1,895,949.02/2,284.64
  6. Step 6: Final answer
    x = 829.87

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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.