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Finding the Fourth Proportional to 918.17, 1,268.02 and 859.40

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Solution

The fourth proportional to 918.17, 1,268.02 and 859.40 is: 1,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.17 : 1,268.02 = 859.40 : x
  2. Step 2: Convert to fraction form
    918.17/1,268.02 = 859.40/x
  3. Step 3: Cross multiply
    918.17x = 1,268.02 × 859.40
  4. Step 4: Simplify right side
    918.17x = 1,089,736.39
  5. Step 5: Solve for x
    x = 1,089,736.39/918.17
  6. Step 6: Final answer
    x = 1,186.86

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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.