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Finding the Fourth Proportional to 1,485.07, 2,228.00 and 445.07

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Solution

The fourth proportional to 1,485.07, 2,228.00 and 445.07 is: 667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.07 : 2,228.00 = 445.07 : x
  2. Step 2: Convert to fraction form
    1,485.07/2,228.00 = 445.07/x
  3. Step 3: Cross multiply
    1,485.07x = 2,228.00 × 445.07
  4. Step 4: Simplify right side
    1,485.07x = 991,613.73
  5. Step 5: Solve for x
    x = 991,613.73/1,485.07
  6. Step 6: Final answer
    x = 667.72

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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.