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Finding the Fourth Proportional to 780.59, 1,082.82 and 739.07

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Solution

The fourth proportional to 780.59, 1,082.82 and 739.07 is: 1,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,082.82 = 739.07 : x
  2. Step 2: Convert to fraction form
    780.59/1,082.82 = 739.07/x
  3. Step 3: Cross multiply
    780.59x = 1,082.82 × 739.07
  4. Step 4: Simplify right side
    780.59x = 800,283.13
  5. Step 5: Solve for x
    x = 800,283.13/780.59
  6. Step 6: Final answer
    x = 1,025.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.