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Finding the Fourth Proportional to 559.78, 837.34 and 455.22

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Solution

The fourth proportional to 559.78, 837.34 and 455.22 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.78 : 837.34 = 455.22 : x
  2. Step 2: Convert to fraction form
    559.78/837.34 = 455.22/x
  3. Step 3: Cross multiply
    559.78x = 837.34 × 455.22
  4. Step 4: Simplify right side
    559.78x = 381,172.78
  5. Step 5: Solve for x
    x = 381,172.78/559.78
  6. Step 6: Final answer
    x = 680.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.