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Finding the Fourth Proportional to 837.90, 1,255.80 and 427.14

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Solution

The fourth proportional to 837.90, 1,255.80 and 427.14 is: 640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.90 : 1,255.80 = 427.14 : x
  2. Step 2: Convert to fraction form
    837.90/1,255.80 = 427.14/x
  3. Step 3: Cross multiply
    837.90x = 1,255.80 × 427.14
  4. Step 4: Simplify right side
    837.90x = 536,402.41
  5. Step 5: Solve for x
    x = 536,402.41/837.90
  6. Step 6: Final answer
    x = 640.17

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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.