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Finding the Fourth Proportional to 822.19, 1,133.77 and 635.71

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Solution

The fourth proportional to 822.19, 1,133.77 and 635.71 is: 876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,133.77 = 635.71 : x
  2. Step 2: Convert to fraction form
    822.19/1,133.77 = 635.71/x
  3. Step 3: Cross multiply
    822.19x = 1,133.77 × 635.71
  4. Step 4: Simplify right side
    822.19x = 720,748.93
  5. Step 5: Solve for x
    x = 720,748.93/822.19
  6. Step 6: Final answer
    x = 876.62

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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.