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Finding the Fourth Proportional to 830.72, 1,246.23 and 311.07

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Solution

The fourth proportional to 830.72, 1,246.23 and 311.07 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,246.23 = 311.07 : x
  2. Step 2: Convert to fraction form
    830.72/1,246.23 = 311.07/x
  3. Step 3: Cross multiply
    830.72x = 1,246.23 × 311.07
  4. Step 4: Simplify right side
    830.72x = 387,669.44
  5. Step 5: Solve for x
    x = 387,669.44/830.72
  6. Step 6: Final answer
    x = 466.67

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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.