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Finding the Fourth Proportional to 667.44, 921.36 and 402

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Solution

The fourth proportional to 667.44, 921.36 and 402 is: 554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 921.36 = 402 : x
  2. Step 2: Convert to fraction form
    667.44/921.36 = 402/x
  3. Step 3: Cross multiply
    667.44x = 921.36 × 402
  4. Step 4: Simplify right side
    667.44x = 370,386.72
  5. Step 5: Solve for x
    x = 370,386.72/667.44
  6. Step 6: Final answer
    x = 554.94

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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.