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Finding the Fourth Proportional to 667.79, 921.53 and 402.29

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Solution

The fourth proportional to 667.79, 921.53 and 402.29 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.79 : 921.53 = 402.29 : x
  2. Step 2: Convert to fraction form
    667.79/921.53 = 402.29/x
  3. Step 3: Cross multiply
    667.79x = 921.53 × 402.29
  4. Step 4: Simplify right side
    667.79x = 370,722.49
  5. Step 5: Solve for x
    x = 370,722.49/667.79
  6. Step 6: Final answer
    x = 555.14

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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.