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Finding the Fourth Proportional to 579.71, 800.04 and 428.45

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Solution

The fourth proportional to 579.71, 800.04 and 428.45 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 800.04 = 428.45 : x
  2. Step 2: Convert to fraction form
    579.71/800.04 = 428.45/x
  3. Step 3: Cross multiply
    579.71x = 800.04 × 428.45
  4. Step 4: Simplify right side
    579.71x = 342,773.14
  5. Step 5: Solve for x
    x = 342,773.14/579.71
  6. Step 6: Final answer
    x = 591.29

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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.