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Finding the Fourth Proportional to 1,228.31, 1,842.72 and 406.54

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Solution

The fourth proportional to 1,228.31, 1,842.72 and 406.54 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.31 : 1,842.72 = 406.54 : x
  2. Step 2: Convert to fraction form
    1,228.31/1,842.72 = 406.54/x
  3. Step 3: Cross multiply
    1,228.31x = 1,842.72 × 406.54
  4. Step 4: Simplify right side
    1,228.31x = 749,130.18
  5. Step 5: Solve for x
    x = 749,130.18/1,228.31
  6. Step 6: Final answer
    x = 609.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.