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Finding the Fourth Proportional to 479.78, 662.58 and 428.24

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Solution

The fourth proportional to 479.78, 662.58 and 428.24 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.78 : 662.58 = 428.24 : x
  2. Step 2: Convert to fraction form
    479.78/662.58 = 428.24/x
  3. Step 3: Cross multiply
    479.78x = 662.58 × 428.24
  4. Step 4: Simplify right side
    479.78x = 283,743.26
  5. Step 5: Solve for x
    x = 283,743.26/479.78
  6. Step 6: Final answer
    x = 591.40

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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.