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Finding the Fourth Proportional to 922.35, 1,381.37 and 662.67

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Solution

The fourth proportional to 922.35, 1,381.37 and 662.67 is: 992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.35 : 1,381.37 = 662.67 : x
  2. Step 2: Convert to fraction form
    922.35/1,381.37 = 662.67/x
  3. Step 3: Cross multiply
    922.35x = 1,381.37 × 662.67
  4. Step 4: Simplify right side
    922.35x = 915,389.14
  5. Step 5: Solve for x
    x = 915,389.14/922.35
  6. Step 6: Final answer
    x = 992.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.