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Finding the Fourth Proportional to 597.18, 824.49 and 422.22

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Solution

The fourth proportional to 597.18, 824.49 and 422.22 is: 582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.18 : 824.49 = 422.22 : x
  2. Step 2: Convert to fraction form
    597.18/824.49 = 422.22/x
  3. Step 3: Cross multiply
    597.18x = 824.49 × 422.22
  4. Step 4: Simplify right side
    597.18x = 348,116.17
  5. Step 5: Solve for x
    x = 348,116.17/597.18
  6. Step 6: Final answer
    x = 582.93

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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.