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Finding the Fourth Proportional to 2,477.74, 3,716.74 and 628.88

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Solution

The fourth proportional to 2,477.74, 3,716.74 and 628.88 is: 943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.74 : 3,716.74 = 628.88 : x
  2. Step 2: Convert to fraction form
    2,477.74/3,716.74 = 628.88/x
  3. Step 3: Cross multiply
    2,477.74x = 3,716.74 × 628.88
  4. Step 4: Simplify right side
    2,477.74x = 2,337,372.65
  5. Step 5: Solve for x
    x = 2,337,372.65/2,477.74
  6. Step 6: Final answer
    x = 943.35

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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.