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Finding the Fourth Proportional to 920.56, 1,268.04 and 860.08

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Solution

The fourth proportional to 920.56, 1,268.04 and 860.08 is: 1,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.56 : 1,268.04 = 860.08 : x
  2. Step 2: Convert to fraction form
    920.56/1,268.04 = 860.08/x
  3. Step 3: Cross multiply
    920.56x = 1,268.04 × 860.08
  4. Step 4: Simplify right side
    920.56x = 1,090,615.84
  5. Step 5: Solve for x
    x = 1,090,615.84/920.56
  6. Step 6: Final answer
    x = 1,184.73

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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.