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Finding the Fourth Proportional to 744.41, 1,027.75 and 478.97

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Solution

The fourth proportional to 744.41, 1,027.75 and 478.97 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.41 : 1,027.75 = 478.97 : x
  2. Step 2: Convert to fraction form
    744.41/1,027.75 = 478.97/x
  3. Step 3: Cross multiply
    744.41x = 1,027.75 × 478.97
  4. Step 4: Simplify right side
    744.41x = 492,261.42
  5. Step 5: Solve for x
    x = 492,261.42/744.41
  6. Step 6: Final answer
    x = 661.28

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Why These Related Problems?

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