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Finding the Fourth Proportional to 598.53, 825.81 and 349.91

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Solution

The fourth proportional to 598.53, 825.81 and 349.91 is: 482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 825.81 = 349.91 : x
  2. Step 2: Convert to fraction form
    598.53/825.81 = 349.91/x
  3. Step 3: Cross multiply
    598.53x = 825.81 × 349.91
  4. Step 4: Simplify right side
    598.53x = 288,959.18
  5. Step 5: Solve for x
    x = 288,959.18/598.53
  6. Step 6: Final answer
    x = 482.78

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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.