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Finding the Fourth Proportional to 597.30, 824.32 and 361.28

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Solution

The fourth proportional to 597.30, 824.32 and 361.28 is: 498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 824.32 = 361.28 : x
  2. Step 2: Convert to fraction form
    597.30/824.32 = 361.28/x
  3. Step 3: Cross multiply
    597.30x = 824.32 × 361.28
  4. Step 4: Simplify right side
    597.30x = 297,810.33
  5. Step 5: Solve for x
    x = 297,810.33/597.30
  6. Step 6: Final answer
    x = 498.59

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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.