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Finding the Fourth Proportional to 1,226.49, 1,840.19 and 496.28

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Solution

The fourth proportional to 1,226.49, 1,840.19 and 496.28 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.49 : 1,840.19 = 496.28 : x
  2. Step 2: Convert to fraction form
    1,226.49/1,840.19 = 496.28/x
  3. Step 3: Cross multiply
    1,226.49x = 1,840.19 × 496.28
  4. Step 4: Simplify right side
    1,226.49x = 913,237.81
  5. Step 5: Solve for x
    x = 913,237.81/1,226.49
  6. Step 6: Final answer
    x = 744.59

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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.