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Finding the Fourth Proportional to 920.37, 1,268.89 and 762.42

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Solution

The fourth proportional to 920.37, 1,268.89 and 762.42 is: 1,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.37 : 1,268.89 = 762.42 : x
  2. Step 2: Convert to fraction form
    920.37/1,268.89 = 762.42/x
  3. Step 3: Cross multiply
    920.37x = 1,268.89 × 762.42
  4. Step 4: Simplify right side
    920.37x = 967,427.11
  5. Step 5: Solve for x
    x = 967,427.11/920.37
  6. Step 6: Final answer
    x = 1,051.13

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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.