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Finding the Fourth Proportional to 1,408.25, 2,113.00 and 758.23

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Solution

The fourth proportional to 1,408.25, 2,113.00 and 758.23 is: 1,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.25 : 2,113.00 = 758.23 : x
  2. Step 2: Convert to fraction form
    1,408.25/2,113.00 = 758.23/x
  3. Step 3: Cross multiply
    1,408.25x = 2,113.00 × 758.23
  4. Step 4: Simplify right side
    1,408.25x = 1,602,132.81
  5. Step 5: Solve for x
    x = 1,602,132.81/1,408.25
  6. Step 6: Final answer
    x = 1,137.67

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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.