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Finding the Fourth Proportional to 882.91, 1,219.94 and 772.21

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Solution

The fourth proportional to 882.91, 1,219.94 and 772.21 is: 1,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.91 : 1,219.94 = 772.21 : x
  2. Step 2: Convert to fraction form
    882.91/1,219.94 = 772.21/x
  3. Step 3: Cross multiply
    882.91x = 1,219.94 × 772.21
  4. Step 4: Simplify right side
    882.91x = 942,049.87
  5. Step 5: Solve for x
    x = 942,049.87/882.91
  6. Step 6: Final answer
    x = 1,066.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.