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Finding the Fourth Proportional to 782.84, 1,174.26 and 668.06

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Solution

The fourth proportional to 782.84, 1,174.26 and 668.06 is: 1,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.84 : 1,174.26 = 668.06 : x
  2. Step 2: Convert to fraction form
    782.84/1,174.26 = 668.06/x
  3. Step 3: Cross multiply
    782.84x = 1,174.26 × 668.06
  4. Step 4: Simplify right side
    782.84x = 784,476.14
  5. Step 5: Solve for x
    x = 784,476.14/782.84
  6. Step 6: Final answer
    x = 1,002.09

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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.