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Finding the Fourth Proportional to 1,611.01, 2,414.67 and 743.50

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Solution

The fourth proportional to 1,611.01, 2,414.67 and 743.50 is: 1,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.01 : 2,414.67 = 743.50 : x
  2. Step 2: Convert to fraction form
    1,611.01/2,414.67 = 743.50/x
  3. Step 3: Cross multiply
    1,611.01x = 2,414.67 × 743.50
  4. Step 4: Simplify right side
    1,611.01x = 1,795,307.15
  5. Step 5: Solve for x
    x = 1,795,307.15/1,611.01
  6. Step 6: Final answer
    x = 1,114.40

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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.