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Finding the Fourth Proportional to 899.73, 1,343.23 and 769.77

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Solution

The fourth proportional to 899.73, 1,343.23 and 769.77 is: 1,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.73 : 1,343.23 = 769.77 : x
  2. Step 2: Convert to fraction form
    899.73/1,343.23 = 769.77/x
  3. Step 3: Cross multiply
    899.73x = 1,343.23 × 769.77
  4. Step 4: Simplify right side
    899.73x = 1,033,976.23
  5. Step 5: Solve for x
    x = 1,033,976.23/899.73
  6. Step 6: Final answer
    x = 1,149.21

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1.5x scale

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.