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Finding the Fourth Proportional to 812.71, 1,218.04 and 442.51

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Solution

The fourth proportional to 812.71, 1,218.04 and 442.51 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.71 : 1,218.04 = 442.51 : x
  2. Step 2: Convert to fraction form
    812.71/1,218.04 = 442.51/x
  3. Step 3: Cross multiply
    812.71x = 1,218.04 × 442.51
  4. Step 4: Simplify right side
    812.71x = 538,994.88
  5. Step 5: Solve for x
    x = 538,994.88/812.71
  6. Step 6: Final answer
    x = 663.21

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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.