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Finding the Fourth Proportional to 667.64, 921.47 and 387.83

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Solution

The fourth proportional to 667.64, 921.47 and 387.83 is: 535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 921.47 = 387.83 : x
  2. Step 2: Convert to fraction form
    667.64/921.47 = 387.83/x
  3. Step 3: Cross multiply
    667.64x = 921.47 × 387.83
  4. Step 4: Simplify right side
    667.64x = 357,371.77
  5. Step 5: Solve for x
    x = 357,371.77/667.64
  6. Step 6: Final answer
    x = 535.28

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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.