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Finding the Fourth Proportional to 744.25, 1,027.06 and 412.68

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Solution

The fourth proportional to 744.25, 1,027.06 and 412.68 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,027.06 = 412.68 : x
  2. Step 2: Convert to fraction form
    744.25/1,027.06 = 412.68/x
  3. Step 3: Cross multiply
    744.25x = 1,027.06 × 412.68
  4. Step 4: Simplify right side
    744.25x = 423,847.12
  5. Step 5: Solve for x
    x = 423,847.12/744.25
  6. Step 6: Final answer
    x = 569.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.