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Finding the Fourth Proportional to 917.94, 1,266.36 and 668.88

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Solution

The fourth proportional to 917.94, 1,266.36 and 668.88 is: 922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.94 : 1,266.36 = 668.88 : x
  2. Step 2: Convert to fraction form
    917.94/1,266.36 = 668.88/x
  3. Step 3: Cross multiply
    917.94x = 1,266.36 × 668.88
  4. Step 4: Simplify right side
    917.94x = 847,042.88
  5. Step 5: Solve for x
    x = 847,042.88/917.94
  6. Step 6: Final answer
    x = 922.76

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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.