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Finding the Fourth Proportional to 940.58, 1,410.02 and 446.69

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Solution

The fourth proportional to 940.58, 1,410.02 and 446.69 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,410.02 = 446.69 : x
  2. Step 2: Convert to fraction form
    940.58/1,410.02 = 446.69/x
  3. Step 3: Cross multiply
    940.58x = 1,410.02 × 446.69
  4. Step 4: Simplify right side
    940.58x = 629,834.78
  5. Step 5: Solve for x
    x = 629,834.78/940.58
  6. Step 6: Final answer
    x = 669.62

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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.