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Finding the Fourth Proportional to 821.95, 1,227.34 and 666.12

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Solution

The fourth proportional to 821.95, 1,227.34 and 666.12 is: 994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.95 : 1,227.34 = 666.12 : x
  2. Step 2: Convert to fraction form
    821.95/1,227.34 = 666.12/x
  3. Step 3: Cross multiply
    821.95x = 1,227.34 × 666.12
  4. Step 4: Simplify right side
    821.95x = 817,560.22
  5. Step 5: Solve for x
    x = 817,560.22/821.95
  6. Step 6: Final answer
    x = 994.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.