Home / 727.30-1,003.80-412.57

Finding the Fourth Proportional to 727.30, 1,003.80 and 412.57

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Solution

The fourth proportional to 727.30, 1,003.80 and 412.57 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.30 : 1,003.80 = 412.57 : x
  2. Step 2: Convert to fraction form
    727.30/1,003.80 = 412.57/x
  3. Step 3: Cross multiply
    727.30x = 1,003.80 × 412.57
  4. Step 4: Simplify right side
    727.30x = 414,137.77
  5. Step 5: Solve for x
    x = 414,137.77/727.30
  6. Step 6: Final answer
    x = 569.42

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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.