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Finding the Fourth Proportional to 667.74, 922.74 and 501.67

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Solution

The fourth proportional to 667.74, 922.74 and 501.67 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.74 : 922.74 = 501.67 : x
  2. Step 2: Convert to fraction form
    667.74/922.74 = 501.67/x
  3. Step 3: Cross multiply
    667.74x = 922.74 × 501.67
  4. Step 4: Simplify right side
    667.74x = 462,906.36
  5. Step 5: Solve for x
    x = 462,906.36/667.74
  6. Step 6: Final answer
    x = 693.25

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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.