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Finding the Fourth Proportional to 603.56, 833.67 and 446.42

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Solution

The fourth proportional to 603.56, 833.67 and 446.42 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.56 : 833.67 = 446.42 : x
  2. Step 2: Convert to fraction form
    603.56/833.67 = 446.42/x
  3. Step 3: Cross multiply
    603.56x = 833.67 × 446.42
  4. Step 4: Simplify right side
    603.56x = 372,162.79
  5. Step 5: Solve for x
    x = 372,162.79/603.56
  6. Step 6: Final answer
    x = 616.62

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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.