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Finding the Fourth Proportional to 1,226.86, 1,840.49 and 486.25

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Solution

The fourth proportional to 1,226.86, 1,840.49 and 486.25 is: 729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.86 : 1,840.49 = 486.25 : x
  2. Step 2: Convert to fraction form
    1,226.86/1,840.49 = 486.25/x
  3. Step 3: Cross multiply
    1,226.86x = 1,840.49 × 486.25
  4. Step 4: Simplify right side
    1,226.86x = 894,938.26
  5. Step 5: Solve for x
    x = 894,938.26/1,226.86
  6. Step 6: Final answer
    x = 729.45

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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.