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Finding the Fourth Proportional to 667.77, 921.62 and 388.18

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Solution

The fourth proportional to 667.77, 921.62 and 388.18 is: 535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.77 : 921.62 = 388.18 : x
  2. Step 2: Convert to fraction form
    667.77/921.62 = 388.18/x
  3. Step 3: Cross multiply
    667.77x = 921.62 × 388.18
  4. Step 4: Simplify right side
    667.77x = 357,754.45
  5. Step 5: Solve for x
    x = 357,754.45/667.77
  6. Step 6: Final answer
    x = 535.75

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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.