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Finding the Fourth Proportional to 917.37, 1,264.32 and 668.30

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Solution

The fourth proportional to 917.37, 1,264.32 and 668.30 is: 921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.37 : 1,264.32 = 668.30 : x
  2. Step 2: Convert to fraction form
    917.37/1,264.32 = 668.30/x
  3. Step 3: Cross multiply
    917.37x = 1,264.32 × 668.30
  4. Step 4: Simplify right side
    917.37x = 844,940.22
  5. Step 5: Solve for x
    x = 844,940.22/917.37
  6. Step 6: Final answer
    x = 921.04

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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.