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Finding the Fourth Proportional to 2,271.31, 3,406.55 and 627.50

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Solution

The fourth proportional to 2,271.31, 3,406.55 and 627.50 is: 941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.31 : 3,406.55 = 627.50 : x
  2. Step 2: Convert to fraction form
    2,271.31/3,406.55 = 627.50/x
  3. Step 3: Cross multiply
    2,271.31x = 3,406.55 × 627.50
  4. Step 4: Simplify right side
    2,271.31x = 2,137,606.99
  5. Step 5: Solve for x
    x = 2,137,606.99/2,271.31
  6. Step 6: Final answer
    x = 941.14

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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.