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Finding the Fourth Proportional to 1,342.90, 2,013.90 and 465.22

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Solution

The fourth proportional to 1,342.90, 2,013.90 and 465.22 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.90 : 2,013.90 = 465.22 : x
  2. Step 2: Convert to fraction form
    1,342.90/2,013.90 = 465.22/x
  3. Step 3: Cross multiply
    1,342.90x = 2,013.90 × 465.22
  4. Step 4: Simplify right side
    1,342.90x = 936,906.56
  5. Step 5: Solve for x
    x = 936,906.56/1,342.90
  6. Step 6: Final answer
    x = 697.67

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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.