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Finding the Fourth Proportional to 985.44, 1,360.67 and 654.33

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Solution

The fourth proportional to 985.44, 1,360.67 and 654.33 is: 903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.44 : 1,360.67 = 654.33 : x
  2. Step 2: Convert to fraction form
    985.44/1,360.67 = 654.33/x
  3. Step 3: Cross multiply
    985.44x = 1,360.67 × 654.33
  4. Step 4: Simplify right side
    985.44x = 890,323.93
  5. Step 5: Solve for x
    x = 890,323.93/985.44
  6. Step 6: Final answer
    x = 903.48

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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.