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Finding the Fourth Proportional to 1,009.45, 1,504.45 and 1,000.95

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Solution

The fourth proportional to 1,009.45, 1,504.45 and 1,000.95 is: 1,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.45 : 1,504.45 = 1,000.95 : x
  2. Step 2: Convert to fraction form
    1,009.45/1,504.45 = 1,000.95/x
  3. Step 3: Cross multiply
    1,009.45x = 1,504.45 × 1,000.95
  4. Step 4: Simplify right side
    1,009.45x = 1,505,879.23
  5. Step 5: Solve for x
    x = 1,505,879.23/1,009.45
  6. Step 6: Final answer
    x = 1,491.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.