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Finding the Fourth Proportional to 919.59, 1,268.16 and 709.42

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Solution

The fourth proportional to 919.59, 1,268.16 and 709.42 is: 978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.59 : 1,268.16 = 709.42 : x
  2. Step 2: Convert to fraction form
    919.59/1,268.16 = 709.42/x
  3. Step 3: Cross multiply
    919.59x = 1,268.16 × 709.42
  4. Step 4: Simplify right side
    919.59x = 899,658.07
  5. Step 5: Solve for x
    x = 899,658.07/919.59
  6. Step 6: Final answer
    x = 978.33

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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.