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Finding the Fourth Proportional to 814.82, 1,226.38 and 610.48

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Solution

The fourth proportional to 814.82, 1,226.38 and 610.48 is: 918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.82 : 1,226.38 = 610.48 : x
  2. Step 2: Convert to fraction form
    814.82/1,226.38 = 610.48/x
  3. Step 3: Cross multiply
    814.82x = 1,226.38 × 610.48
  4. Step 4: Simplify right side
    814.82x = 748,680.46
  5. Step 5: Solve for x
    x = 748,680.46/814.82
  6. Step 6: Final answer
    x = 918.83

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1.5x scale

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.