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Finding the Fourth Proportional to 2,477.27, 3,715.90 and 628.38

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Solution

The fourth proportional to 2,477.27, 3,715.90 and 628.38 is: 942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.27 : 3,715.90 = 628.38 : x
  2. Step 2: Convert to fraction form
    2,477.27/3,715.90 = 628.38/x
  3. Step 3: Cross multiply
    2,477.27x = 3,715.90 × 628.38
  4. Step 4: Simplify right side
    2,477.27x = 2,335,017.21
  5. Step 5: Solve for x
    x = 2,335,017.21/2,477.27
  6. Step 6: Final answer
    x = 942.58

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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.