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Finding the Fourth Proportional to 598.36, 825.40 and 423.80

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Solution

The fourth proportional to 598.36, 825.40 and 423.80 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.36 : 825.40 = 423.80 : x
  2. Step 2: Convert to fraction form
    598.36/825.40 = 423.80/x
  3. Step 3: Cross multiply
    598.36x = 825.40 × 423.80
  4. Step 4: Simplify right side
    598.36x = 349,804.52
  5. Step 5: Solve for x
    x = 349,804.52/598.36
  6. Step 6: Final answer
    x = 584.61

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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.