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Finding the Fourth Proportional to 597.42, 823.28 and 422.46

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Solution

The fourth proportional to 597.42, 823.28 and 422.46 is: 582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 823.28 = 422.46 : x
  2. Step 2: Convert to fraction form
    597.42/823.28 = 422.46/x
  3. Step 3: Cross multiply
    597.42x = 823.28 × 422.46
  4. Step 4: Simplify right side
    597.42x = 347,800.76
  5. Step 5: Solve for x
    x = 347,800.76/597.42
  6. Step 6: Final answer
    x = 582.17

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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.