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Finding the Fourth Proportional to 598.16, 825.56 and 450.56

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Solution

The fourth proportional to 598.16, 825.56 and 450.56 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 825.56 = 450.56 : x
  2. Step 2: Convert to fraction form
    598.16/825.56 = 450.56/x
  3. Step 3: Cross multiply
    598.16x = 825.56 × 450.56
  4. Step 4: Simplify right side
    598.16x = 371,964.31
  5. Step 5: Solve for x
    x = 371,964.31/598.16
  6. Step 6: Final answer
    x = 621.85

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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.