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Finding the Fourth Proportional to 598.95, 825.75 and 377.82

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Solution

The fourth proportional to 598.95, 825.75 and 377.82 is: 520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.95 : 825.75 = 377.82 : x
  2. Step 2: Convert to fraction form
    598.95/825.75 = 377.82/x
  3. Step 3: Cross multiply
    598.95x = 825.75 × 377.82
  4. Step 4: Simplify right side
    598.95x = 311,984.87
  5. Step 5: Solve for x
    x = 311,984.87/598.95
  6. Step 6: Final answer
    x = 520.89

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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.