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Finding the Fourth Proportional to 667.56, 921.17 and 368.76

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Solution

The fourth proportional to 667.56, 921.17 and 368.76 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.56 : 921.17 = 368.76 : x
  2. Step 2: Convert to fraction form
    667.56/921.17 = 368.76/x
  3. Step 3: Cross multiply
    667.56x = 921.17 × 368.76
  4. Step 4: Simplify right side
    667.56x = 339,688.81
  5. Step 5: Solve for x
    x = 339,688.81/667.56
  6. Step 6: Final answer
    x = 508.85

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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.