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Finding the Fourth Proportional to 1,294.50, 1,942.14 and 747.08

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Solution

The fourth proportional to 1,294.50, 1,942.14 and 747.08 is: 1,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.50 : 1,942.14 = 747.08 : x
  2. Step 2: Convert to fraction form
    1,294.50/1,942.14 = 747.08/x
  3. Step 3: Cross multiply
    1,294.50x = 1,942.14 × 747.08
  4. Step 4: Simplify right side
    1,294.50x = 1,450,924.24
  5. Step 5: Solve for x
    x = 1,450,924.24/1,294.50
  6. Step 6: Final answer
    x = 1,120.84

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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.