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Finding the Fourth Proportional to 2,453.30, 3,679.95 and 604.45

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Solution

The fourth proportional to 2,453.30, 3,679.95 and 604.45 is: 906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.30 : 3,679.95 = 604.45 : x
  2. Step 2: Convert to fraction form
    2,453.30/3,679.95 = 604.45/x
  3. Step 3: Cross multiply
    2,453.30x = 3,679.95 × 604.45
  4. Step 4: Simplify right side
    2,453.30x = 2,224,342.76
  5. Step 5: Solve for x
    x = 2,224,342.76/2,453.30
  6. Step 6: Final answer
    x = 906.67

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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.