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Finding the Fourth Proportional to 734.23, 1,102.19 and 580.67

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Solution

The fourth proportional to 734.23, 1,102.19 and 580.67 is: 871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.23 : 1,102.19 = 580.67 : x
  2. Step 2: Convert to fraction form
    734.23/1,102.19 = 580.67/x
  3. Step 3: Cross multiply
    734.23x = 1,102.19 × 580.67
  4. Step 4: Simplify right side
    734.23x = 640,008.67
  5. Step 5: Solve for x
    x = 640,008.67/734.23
  6. Step 6: Final answer
    x = 871.67

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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.