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Finding the Fourth Proportional to 822.78, 1,134.76 and 698.86

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Solution

The fourth proportional to 822.78, 1,134.76 and 698.86 is: 963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,134.76 = 698.86 : x
  2. Step 2: Convert to fraction form
    822.78/1,134.76 = 698.86/x
  3. Step 3: Cross multiply
    822.78x = 1,134.76 × 698.86
  4. Step 4: Simplify right side
    822.78x = 793,038.37
  5. Step 5: Solve for x
    x = 793,038.37/822.78
  6. Step 6: Final answer
    x = 963.85

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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.