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Finding the Fourth Proportional to 822.42, 1,230.78 and 674.46

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Solution

The fourth proportional to 822.42, 1,230.78 and 674.46 is: 1,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.42 : 1,230.78 = 674.46 : x
  2. Step 2: Convert to fraction form
    822.42/1,230.78 = 674.46/x
  3. Step 3: Cross multiply
    822.42x = 1,230.78 × 674.46
  4. Step 4: Simplify right side
    822.42x = 830,111.88
  5. Step 5: Solve for x
    x = 830,111.88/822.42
  6. Step 6: Final answer
    x = 1,009.35

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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.