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Finding the Fourth Proportional to 941.78, 1,410.62 and 669.09

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Solution

The fourth proportional to 941.78, 1,410.62 and 669.09 is: 1,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.78 : 1,410.62 = 669.09 : x
  2. Step 2: Convert to fraction form
    941.78/1,410.62 = 669.09/x
  3. Step 3: Cross multiply
    941.78x = 1,410.62 × 669.09
  4. Step 4: Simplify right side
    941.78x = 943,821.78
  5. Step 5: Solve for x
    x = 943,821.78/941.78
  6. Step 6: Final answer
    x = 1,002.17

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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.