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Finding the Fourth Proportional to 780.83, 1,163.80 and 737.04

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Solution

The fourth proportional to 780.83, 1,163.80 and 737.04 is: 1,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.83 : 1,163.80 = 737.04 : x
  2. Step 2: Convert to fraction form
    780.83/1,163.80 = 737.04/x
  3. Step 3: Cross multiply
    780.83x = 1,163.80 × 737.04
  4. Step 4: Simplify right side
    780.83x = 857,767.15
  5. Step 5: Solve for x
    x = 857,767.15/780.83
  6. Step 6: Final answer
    x = 1,098.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.