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Finding the Fourth Proportional to 749.16, 1,114.41 and 741.27

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Solution

The fourth proportional to 749.16, 1,114.41 and 741.27 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.16 : 1,114.41 = 741.27 : x
  2. Step 2: Convert to fraction form
    749.16/1,114.41 = 741.27/x
  3. Step 3: Cross multiply
    749.16x = 1,114.41 × 741.27
  4. Step 4: Simplify right side
    749.16x = 826,078.70
  5. Step 5: Solve for x
    x = 826,078.70/749.16
  6. Step 6: Final answer
    x = 1,102.67

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1.5x scale

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.