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Finding the Fourth Proportional to 598.06, 825.38 and 349.35

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Solution

The fourth proportional to 598.06, 825.38 and 349.35 is: 482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 825.38 = 349.35 : x
  2. Step 2: Convert to fraction form
    598.06/825.38 = 349.35/x
  3. Step 3: Cross multiply
    598.06x = 825.38 × 349.35
  4. Step 4: Simplify right side
    598.06x = 288,346.50
  5. Step 5: Solve for x
    x = 288,346.50/598.06
  6. Step 6: Final answer
    x = 482.14

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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.