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Finding the Fourth Proportional to 1,003.21, 1,506.44 and 756.43

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Solution

The fourth proportional to 1,003.21, 1,506.44 and 756.43 is: 1,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.21 : 1,506.44 = 756.43 : x
  2. Step 2: Convert to fraction form
    1,003.21/1,506.44 = 756.43/x
  3. Step 3: Cross multiply
    1,003.21x = 1,506.44 × 756.43
  4. Step 4: Simplify right side
    1,003.21x = 1,139,512.63
  5. Step 5: Solve for x
    x = 1,139,512.63/1,003.21
  6. Step 6: Final answer
    x = 1,135.87

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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.