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Finding the Fourth Proportional to 813.15, 1,218.44 and 552.23

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Solution

The fourth proportional to 813.15, 1,218.44 and 552.23 is: 827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.15 : 1,218.44 = 552.23 : x
  2. Step 2: Convert to fraction form
    813.15/1,218.44 = 552.23/x
  3. Step 3: Cross multiply
    813.15x = 1,218.44 × 552.23
  4. Step 4: Simplify right side
    813.15x = 672,859.12
  5. Step 5: Solve for x
    x = 672,859.12/813.15
  6. Step 6: Final answer
    x = 827.47

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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.