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Finding the Fourth Proportional to 687.82, 1,030.81 and 444.22

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Solution

The fourth proportional to 687.82, 1,030.81 and 444.22 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.82 : 1,030.81 = 444.22 : x
  2. Step 2: Convert to fraction form
    687.82/1,030.81 = 444.22/x
  3. Step 3: Cross multiply
    687.82x = 1,030.81 × 444.22
  4. Step 4: Simplify right side
    687.82x = 457,906.42
  5. Step 5: Solve for x
    x = 457,906.42/687.82
  6. Step 6: Final answer
    x = 665.74

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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.