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Finding the Fourth Proportional to 579.84, 800.20 and 317.86

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Solution

The fourth proportional to 579.84, 800.20 and 317.86 is: 438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 800.20 = 317.86 : x
  2. Step 2: Convert to fraction form
    579.84/800.20 = 317.86/x
  3. Step 3: Cross multiply
    579.84x = 800.20 × 317.86
  4. Step 4: Simplify right side
    579.84x = 254,351.57
  5. Step 5: Solve for x
    x = 254,351.57/579.84
  6. Step 6: Final answer
    x = 438.66

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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.