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Finding the Fourth Proportional to 1,226.69, 1,840.01 and 302.25

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Solution

The fourth proportional to 1,226.69, 1,840.01 and 302.25 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.69 : 1,840.01 = 302.25 : x
  2. Step 2: Convert to fraction form
    1,226.69/1,840.01 = 302.25/x
  3. Step 3: Cross multiply
    1,226.69x = 1,840.01 × 302.25
  4. Step 4: Simplify right side
    1,226.69x = 556,143.02
  5. Step 5: Solve for x
    x = 556,143.02/1,226.69
  6. Step 6: Final answer
    x = 453.37

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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.