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Finding the Fourth Proportional to 822.61, 1,133.92 and 656.56

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Solution

The fourth proportional to 822.61, 1,133.92 and 656.56 is: 905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.61 : 1,133.92 = 656.56 : x
  2. Step 2: Convert to fraction form
    822.61/1,133.92 = 656.56/x
  3. Step 3: Cross multiply
    822.61x = 1,133.92 × 656.56
  4. Step 4: Simplify right side
    822.61x = 744,486.52
  5. Step 5: Solve for x
    x = 744,486.52/822.61
  6. Step 6: Final answer
    x = 905.03

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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.