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Finding the Fourth Proportional to 919.76, 1,268.46 and 670.98

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Solution

The fourth proportional to 919.76, 1,268.46 and 670.98 is: 925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,268.46 = 670.98 : x
  2. Step 2: Convert to fraction form
    919.76/1,268.46 = 670.98/x
  3. Step 3: Cross multiply
    919.76x = 1,268.46 × 670.98
  4. Step 4: Simplify right side
    919.76x = 851,116.05
  5. Step 5: Solve for x
    x = 851,116.05/919.76
  6. Step 6: Final answer
    x = 925.37

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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.