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Finding the Fourth Proportional to 936.09, 1,290.43 and 655.46

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Solution

The fourth proportional to 936.09, 1,290.43 and 655.46 is: 903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.09 : 1,290.43 = 655.46 : x
  2. Step 2: Convert to fraction form
    936.09/1,290.43 = 655.46/x
  3. Step 3: Cross multiply
    936.09x = 1,290.43 × 655.46
  4. Step 4: Simplify right side
    936.09x = 845,825.25
  5. Step 5: Solve for x
    x = 845,825.25/936.09
  6. Step 6: Final answer
    x = 903.57

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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.