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Finding the Fourth Proportional to 597.24, 821.98 and 422.28

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Solution

The fourth proportional to 597.24, 821.98 and 422.28 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 821.98 = 422.28 : x
  2. Step 2: Convert to fraction form
    597.24/821.98 = 422.28/x
  3. Step 3: Cross multiply
    597.24x = 821.98 × 422.28
  4. Step 4: Simplify right side
    597.24x = 347,105.71
  5. Step 5: Solve for x
    x = 347,105.71/597.24
  6. Step 6: Final answer
    x = 581.18

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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.