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Finding the Fourth Proportional to 604.60, 825.70 and 598.12

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Solution

The fourth proportional to 604.60, 825.70 and 598.12 is: 816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 825.70 = 598.12 : x
  2. Step 2: Convert to fraction form
    604.60/825.70 = 598.12/x
  3. Step 3: Cross multiply
    604.60x = 825.70 × 598.12
  4. Step 4: Simplify right side
    604.60x = 493,867.68
  5. Step 5: Solve for x
    x = 493,867.68/604.60
  6. Step 6: Final answer
    x = 816.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.