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Finding the Fourth Proportional to 1,226.50, 1,840.47 and 486.18

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Solution

The fourth proportional to 1,226.50, 1,840.47 and 486.18 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.50 : 1,840.47 = 486.18 : x
  2. Step 2: Convert to fraction form
    1,226.50/1,840.47 = 486.18/x
  3. Step 3: Cross multiply
    1,226.50x = 1,840.47 × 486.18
  4. Step 4: Simplify right side
    1,226.50x = 894,799.70
  5. Step 5: Solve for x
    x = 894,799.70/1,226.50
  6. Step 6: Final answer
    x = 729.56

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1.5x scale

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.