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Finding the Fourth Proportional to 849.96, 1,266.30 and 812.70

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Solution

The fourth proportional to 849.96, 1,266.30 and 812.70 is: 1,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.96 : 1,266.30 = 812.70 : x
  2. Step 2: Convert to fraction form
    849.96/1,266.30 = 812.70/x
  3. Step 3: Cross multiply
    849.96x = 1,266.30 × 812.70
  4. Step 4: Simplify right side
    849.96x = 1,029,122.01
  5. Step 5: Solve for x
    x = 1,029,122.01/849.96
  6. Step 6: Final answer
    x = 1,210.79

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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.