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Finding the Fourth Proportional to 603.82, 833.96 and 438.77

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Solution

The fourth proportional to 603.82, 833.96 and 438.77 is: 606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 833.96 = 438.77 : x
  2. Step 2: Convert to fraction form
    603.82/833.96 = 438.77/x
  3. Step 3: Cross multiply
    603.82x = 833.96 × 438.77
  4. Step 4: Simplify right side
    603.82x = 365,916.05
  5. Step 5: Solve for x
    x = 365,916.05/603.82
  6. Step 6: Final answer
    x = 606.00

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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.