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Finding the Fourth Proportional to 780.30, 1,167.03 and 694.22

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Solution

The fourth proportional to 780.30, 1,167.03 and 694.22 is: 1,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.30 : 1,167.03 = 694.22 : x
  2. Step 2: Convert to fraction form
    780.30/1,167.03 = 694.22/x
  3. Step 3: Cross multiply
    780.30x = 1,167.03 × 694.22
  4. Step 4: Simplify right side
    780.30x = 810,169.73
  5. Step 5: Solve for x
    x = 810,169.73/780.30
  6. Step 6: Final answer
    x = 1,038.28

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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.