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Finding the Fourth Proportional to 598.13, 825.41 and 423.57

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Solution

The fourth proportional to 598.13, 825.41 and 423.57 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 825.41 = 423.57 : x
  2. Step 2: Convert to fraction form
    598.13/825.41 = 423.57/x
  3. Step 3: Cross multiply
    598.13x = 825.41 × 423.57
  4. Step 4: Simplify right side
    598.13x = 349,619.97
  5. Step 5: Solve for x
    x = 349,619.97/598.13
  6. Step 6: Final answer
    x = 584.53

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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.