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Finding the Fourth Proportional to 812.98, 1,219.70 and 442.71

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Solution

The fourth proportional to 812.98, 1,219.70 and 442.71 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.98 : 1,219.70 = 442.71 : x
  2. Step 2: Convert to fraction form
    812.98/1,219.70 = 442.71/x
  3. Step 3: Cross multiply
    812.98x = 1,219.70 × 442.71
  4. Step 4: Simplify right side
    812.98x = 539,973.39
  5. Step 5: Solve for x
    x = 539,973.39/812.98
  6. Step 6: Final answer
    x = 664.19

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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.