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Finding the Fourth Proportional to 940.10, 1,410.14 and 757.85

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Solution

The fourth proportional to 940.10, 1,410.14 and 757.85 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,410.14 = 757.85 : x
  2. Step 2: Convert to fraction form
    940.10/1,410.14 = 757.85/x
  3. Step 3: Cross multiply
    940.10x = 1,410.14 × 757.85
  4. Step 4: Simplify right side
    940.10x = 1,068,663.76
  5. Step 5: Solve for x
    x = 1,068,663.76/940.10
  6. Step 6: Final answer
    x = 1,136.76

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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.