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Finding the Fourth Proportional to 2,285.77, 3,428.65 and 554.38

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Solution

The fourth proportional to 2,285.77, 3,428.65 and 554.38 is: 831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.77 : 3,428.65 = 554.38 : x
  2. Step 2: Convert to fraction form
    2,285.77/3,428.65 = 554.38/x
  3. Step 3: Cross multiply
    2,285.77x = 3,428.65 × 554.38
  4. Step 4: Simplify right side
    2,285.77x = 1,900,756.46
  5. Step 5: Solve for x
    x = 1,900,756.46/2,285.77
  6. Step 6: Final answer
    x = 831.56

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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.