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Finding the Fourth Proportional to 603.82, 838.75 and 586.54

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Solution

The fourth proportional to 603.82, 838.75 and 586.54 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 838.75 = 586.54 : x
  2. Step 2: Convert to fraction form
    603.82/838.75 = 586.54/x
  3. Step 3: Cross multiply
    603.82x = 838.75 × 586.54
  4. Step 4: Simplify right side
    603.82x = 491,960.43
  5. Step 5: Solve for x
    x = 491,960.43/603.82
  6. Step 6: Final answer
    x = 814.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.