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Finding the Fourth Proportional to 780.72, 1,167.87 and 712.29

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Solution

The fourth proportional to 780.72, 1,167.87 and 712.29 is: 1,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.72 : 1,167.87 = 712.29 : x
  2. Step 2: Convert to fraction form
    780.72/1,167.87 = 712.29/x
  3. Step 3: Cross multiply
    780.72x = 1,167.87 × 712.29
  4. Step 4: Simplify right side
    780.72x = 831,862.12
  5. Step 5: Solve for x
    x = 831,862.12/780.72
  6. Step 6: Final answer
    x = 1,065.51

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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.