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Finding the Fourth Proportional to 2,285.58, 3,428.39 and 554.21

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Solution

The fourth proportional to 2,285.58, 3,428.39 and 554.21 is: 831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.58 : 3,428.39 = 554.21 : x
  2. Step 2: Convert to fraction form
    2,285.58/3,428.39 = 554.21/x
  3. Step 3: Cross multiply
    2,285.58x = 3,428.39 × 554.21
  4. Step 4: Simplify right side
    2,285.58x = 1,900,028.11
  5. Step 5: Solve for x
    x = 1,900,028.11/2,285.58
  6. Step 6: Final answer
    x = 831.31

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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.