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Finding the Fourth Proportional to 597.74, 825.24 and 388.02

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Solution

The fourth proportional to 597.74, 825.24 and 388.02 is: 535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.74 : 825.24 = 388.02 : x
  2. Step 2: Convert to fraction form
    597.74/825.24 = 388.02/x
  3. Step 3: Cross multiply
    597.74x = 825.24 × 388.02
  4. Step 4: Simplify right side
    597.74x = 320,209.62
  5. Step 5: Solve for x
    x = 320,209.62/597.74
  6. Step 6: Final answer
    x = 535.70

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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.