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Finding the Fourth Proportional to 579.64, 799.89 and 317.65

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Solution

The fourth proportional to 579.64, 799.89 and 317.65 is: 438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.64 : 799.89 = 317.65 : x
  2. Step 2: Convert to fraction form
    579.64/799.89 = 317.65/x
  3. Step 3: Cross multiply
    579.64x = 799.89 × 317.65
  4. Step 4: Simplify right side
    579.64x = 254,081.87
  5. Step 5: Solve for x
    x = 254,081.87/579.64
  6. Step 6: Final answer
    x = 438.35

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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.