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Finding the Fourth Proportional to 675.26, 1,010.79 and 366.35

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Solution

The fourth proportional to 675.26, 1,010.79 and 366.35 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.26 : 1,010.79 = 366.35 : x
  2. Step 2: Convert to fraction form
    675.26/1,010.79 = 366.35/x
  3. Step 3: Cross multiply
    675.26x = 1,010.79 × 366.35
  4. Step 4: Simplify right side
    675.26x = 370,297.86
  5. Step 5: Solve for x
    x = 370,297.86/675.26
  6. Step 6: Final answer
    x = 548.38

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Why These Related Problems?

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