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Finding the Fourth Proportional to 822.92, 1,135.86 and 491.24

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Solution

The fourth proportional to 822.92, 1,135.86 and 491.24 is: 678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,135.86 = 491.24 : x
  2. Step 2: Convert to fraction form
    822.92/1,135.86 = 491.24/x
  3. Step 3: Cross multiply
    822.92x = 1,135.86 × 491.24
  4. Step 4: Simplify right side
    822.92x = 557,979.87
  5. Step 5: Solve for x
    x = 557,979.87/822.92
  6. Step 6: Final answer
    x = 678.05

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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.