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Finding the Fourth Proportional to 941.00, 1,409.67 and 693.75

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Solution

The fourth proportional to 941.00, 1,409.67 and 693.75 is: 1,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.00 : 1,409.67 = 693.75 : x
  2. Step 2: Convert to fraction form
    941.00/1,409.67 = 693.75/x
  3. Step 3: Cross multiply
    941.00x = 1,409.67 × 693.75
  4. Step 4: Simplify right side
    941.00x = 977,958.56
  5. Step 5: Solve for x
    x = 977,958.56/941.00
  6. Step 6: Final answer
    x = 1,039.28

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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.