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Finding the Fourth Proportional to 1,294.99, 1,942.46 and 775.13

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Solution

The fourth proportional to 1,294.99, 1,942.46 and 775.13 is: 1,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.99 : 1,942.46 = 775.13 : x
  2. Step 2: Convert to fraction form
    1,294.99/1,942.46 = 775.13/x
  3. Step 3: Cross multiply
    1,294.99x = 1,942.46 × 775.13
  4. Step 4: Simplify right side
    1,294.99x = 1,505,666.80
  5. Step 5: Solve for x
    x = 1,505,666.80/1,294.99
  6. Step 6: Final answer
    x = 1,162.69

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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.