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Finding the Fourth Proportional to 597.26, 823.85 and 387.09

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Solution

The fourth proportional to 597.26, 823.85 and 387.09 is: 533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.26 : 823.85 = 387.09 : x
  2. Step 2: Convert to fraction form
    597.26/823.85 = 387.09/x
  3. Step 3: Cross multiply
    597.26x = 823.85 × 387.09
  4. Step 4: Simplify right side
    597.26x = 318,902.16
  5. Step 5: Solve for x
    x = 318,902.16/597.26
  6. Step 6: Final answer
    x = 533.95

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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.