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Finding the Fourth Proportional to 1,000.50, 1,381.05 and 668.81

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Solution

The fourth proportional to 1,000.50, 1,381.05 and 668.81 is: 923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.50 : 1,381.05 = 668.81 : x
  2. Step 2: Convert to fraction form
    1,000.50/1,381.05 = 668.81/x
  3. Step 3: Cross multiply
    1,000.50x = 1,381.05 × 668.81
  4. Step 4: Simplify right side
    1,000.50x = 923,653.15
  5. Step 5: Solve for x
    x = 923,653.15/1,000.50
  6. Step 6: Final answer
    x = 923.19

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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.