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Finding the Fourth Proportional to 1,226.01, 1,840.83 and 497.01

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Solution

The fourth proportional to 1,226.01, 1,840.83 and 497.01 is: 746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.01 : 1,840.83 = 497.01 : x
  2. Step 2: Convert to fraction form
    1,226.01/1,840.83 = 497.01/x
  3. Step 3: Cross multiply
    1,226.01x = 1,840.83 × 497.01
  4. Step 4: Simplify right side
    1,226.01x = 914,910.92
  5. Step 5: Solve for x
    x = 914,910.92/1,226.01
  6. Step 6: Final answer
    x = 746.25

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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.