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Finding the Fourth Proportional to 780.87, 1,177.03 and 769.93

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Solution

The fourth proportional to 780.87, 1,177.03 and 769.93 is: 1,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.87 : 1,177.03 = 769.93 : x
  2. Step 2: Convert to fraction form
    780.87/1,177.03 = 769.93/x
  3. Step 3: Cross multiply
    780.87x = 1,177.03 × 769.93
  4. Step 4: Simplify right side
    780.87x = 906,230.71
  5. Step 5: Solve for x
    x = 906,230.71/780.87
  6. Step 6: Final answer
    x = 1,160.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.