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Finding the Fourth Proportional to 2,359.44, 3,538.44 and 627.84

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Solution

The fourth proportional to 2,359.44, 3,538.44 and 627.84 is: 941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.44 : 3,538.44 = 627.84 : x
  2. Step 2: Convert to fraction form
    2,359.44/3,538.44 = 627.84/x
  3. Step 3: Cross multiply
    2,359.44x = 3,538.44 × 627.84
  4. Step 4: Simplify right side
    2,359.44x = 2,221,574.17
  5. Step 5: Solve for x
    x = 2,221,574.17/2,359.44
  6. Step 6: Final answer
    x = 941.57

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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.