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Finding the Fourth Proportional to 919.96, 1,268.94 and 658.12

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Solution

The fourth proportional to 919.96, 1,268.94 and 658.12 is: 907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.96 : 1,268.94 = 658.12 : x
  2. Step 2: Convert to fraction form
    919.96/1,268.94 = 658.12/x
  3. Step 3: Cross multiply
    919.96x = 1,268.94 × 658.12
  4. Step 4: Simplify right side
    919.96x = 835,114.79
  5. Step 5: Solve for x
    x = 835,114.79/919.96
  6. Step 6: Final answer
    x = 907.77

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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.