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Finding the Fourth Proportional to 822.42, 1,231.38 and 706.32

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Solution

The fourth proportional to 822.42, 1,231.38 and 706.32 is: 1,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.42 : 1,231.38 = 706.32 : x
  2. Step 2: Convert to fraction form
    822.42/1,231.38 = 706.32/x
  3. Step 3: Cross multiply
    822.42x = 1,231.38 × 706.32
  4. Step 4: Simplify right side
    822.42x = 869,748.32
  5. Step 5: Solve for x
    x = 869,748.32/822.42
  6. Step 6: Final answer
    x = 1,057.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.