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Finding the Fourth Proportional to 1,004.67, 1,504.42 and 744.28

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Solution

The fourth proportional to 1,004.67, 1,504.42 and 744.28 is: 1,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.67 : 1,504.42 = 744.28 : x
  2. Step 2: Convert to fraction form
    1,004.67/1,504.42 = 744.28/x
  3. Step 3: Cross multiply
    1,004.67x = 1,504.42 × 744.28
  4. Step 4: Simplify right side
    1,004.67x = 1,119,704.10
  5. Step 5: Solve for x
    x = 1,119,704.10/1,004.67
  6. Step 6: Final answer
    x = 1,114.50

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1.5x scale

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.