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Finding the Fourth Proportional to 866.79, 1,301.40 and 756.90

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Solution

The fourth proportional to 866.79, 1,301.40 and 756.90 is: 1,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.79 : 1,301.40 = 756.90 : x
  2. Step 2: Convert to fraction form
    866.79/1,301.40 = 756.90/x
  3. Step 3: Cross multiply
    866.79x = 1,301.40 × 756.90
  4. Step 4: Simplify right side
    866.79x = 985,029.66
  5. Step 5: Solve for x
    x = 985,029.66/866.79
  6. Step 6: Final answer
    x = 1,136.41

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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.