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Finding the Fourth Proportional to 579.80, 799.44 and 438.04

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Solution

The fourth proportional to 579.80, 799.44 and 438.04 is: 603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 799.44 = 438.04 : x
  2. Step 2: Convert to fraction form
    579.80/799.44 = 438.04/x
  3. Step 3: Cross multiply
    579.80x = 799.44 × 438.04
  4. Step 4: Simplify right side
    579.80x = 350,186.70
  5. Step 5: Solve for x
    x = 350,186.70/579.80
  6. Step 6: Final answer
    x = 603.98

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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.