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Finding the Fourth Proportional to 746.79, 1,121.57 and 685.83

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Solution

The fourth proportional to 746.79, 1,121.57 and 685.83 is: 1,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.79 : 1,121.57 = 685.83 : x
  2. Step 2: Convert to fraction form
    746.79/1,121.57 = 685.83/x
  3. Step 3: Cross multiply
    746.79x = 1,121.57 × 685.83
  4. Step 4: Simplify right side
    746.79x = 769,206.35
  5. Step 5: Solve for x
    x = 769,206.35/746.79
  6. Step 6: Final answer
    x = 1,030.02

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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.