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Finding the Fourth Proportional to 846.37, 1,270.12 and 298.55

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Solution

The fourth proportional to 846.37, 1,270.12 and 298.55 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.37 : 1,270.12 = 298.55 : x
  2. Step 2: Convert to fraction form
    846.37/1,270.12 = 298.55/x
  3. Step 3: Cross multiply
    846.37x = 1,270.12 × 298.55
  4. Step 4: Simplify right side
    846.37x = 379,194.33
  5. Step 5: Solve for x
    x = 379,194.33/846.37
  6. Step 6: Final answer
    x = 448.02

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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.