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Finding the Fourth Proportional to 579.98, 800.38 and 318.00

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Solution

The fourth proportional to 579.98, 800.38 and 318.00 is: 438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 800.38 = 318.00 : x
  2. Step 2: Convert to fraction form
    579.98/800.38 = 318.00/x
  3. Step 3: Cross multiply
    579.98x = 800.38 × 318.00
  4. Step 4: Simplify right side
    579.98x = 254,516.84
  5. Step 5: Solve for x
    x = 254,516.84/579.98
  6. Step 6: Final answer
    x = 438.84

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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.