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Finding the Fourth Proportional to 668.54, 921.69 and 511.26

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Solution

The fourth proportional to 668.54, 921.69 and 511.26 is: 704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.54 : 921.69 = 511.26 : x
  2. Step 2: Convert to fraction form
    668.54/921.69 = 511.26/x
  3. Step 3: Cross multiply
    668.54x = 921.69 × 511.26
  4. Step 4: Simplify right side
    668.54x = 471,223.23
  5. Step 5: Solve for x
    x = 471,223.23/668.54
  6. Step 6: Final answer
    x = 704.86

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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.