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Finding the Fourth Proportional to 812.18, 1,218.48 and 401.51

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Solution

The fourth proportional to 812.18, 1,218.48 and 401.51 is: 602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.18 : 1,218.48 = 401.51 : x
  2. Step 2: Convert to fraction form
    812.18/1,218.48 = 401.51/x
  3. Step 3: Cross multiply
    812.18x = 1,218.48 × 401.51
  4. Step 4: Simplify right side
    812.18x = 489,231.90
  5. Step 5: Solve for x
    x = 489,231.90/812.18
  6. Step 6: Final answer
    x = 602.37

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1.5x scale

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.