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Finding the Fourth Proportional to 603.12, 830.04 and 478.38

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Solution

The fourth proportional to 603.12, 830.04 and 478.38 is: 658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.12 : 830.04 = 478.38 : x
  2. Step 2: Convert to fraction form
    603.12/830.04 = 478.38/x
  3. Step 3: Cross multiply
    603.12x = 830.04 × 478.38
  4. Step 4: Simplify right side
    603.12x = 397,074.54
  5. Step 5: Solve for x
    x = 397,074.54/603.12
  6. Step 6: Final answer
    x = 658.37

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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.