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Finding the Fourth Proportional to 822.36, 1,133.91 and 689.79

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Solution

The fourth proportional to 822.36, 1,133.91 and 689.79 is: 951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.36 : 1,133.91 = 689.79 : x
  2. Step 2: Convert to fraction form
    822.36/1,133.91 = 689.79/x
  3. Step 3: Cross multiply
    822.36x = 1,133.91 × 689.79
  4. Step 4: Simplify right side
    822.36x = 782,159.78
  5. Step 5: Solve for x
    x = 782,159.78/822.36
  6. Step 6: Final answer
    x = 951.12

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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.