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Finding the Fourth Proportional to 727.81, 1,004.38 and 417.31

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Solution

The fourth proportional to 727.81, 1,004.38 and 417.31 is: 575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.81 : 1,004.38 = 417.31 : x
  2. Step 2: Convert to fraction form
    727.81/1,004.38 = 417.31/x
  3. Step 3: Cross multiply
    727.81x = 1,004.38 × 417.31
  4. Step 4: Simplify right side
    727.81x = 419,141.37
  5. Step 5: Solve for x
    x = 419,141.37/727.81
  6. Step 6: Final answer
    x = 575.89

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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.