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Finding the Fourth Proportional to 1,090.15, 1,642.49 and 986.15

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Solution

The fourth proportional to 1,090.15, 1,642.49 and 986.15 is: 1,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.15 : 1,642.49 = 986.15 : x
  2. Step 2: Convert to fraction form
    1,090.15/1,642.49 = 986.15/x
  3. Step 3: Cross multiply
    1,090.15x = 1,642.49 × 986.15
  4. Step 4: Simplify right side
    1,090.15x = 1,619,749.93
  5. Step 5: Solve for x
    x = 1,619,749.93/1,090.15
  6. Step 6: Final answer
    x = 1,485.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.