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Finding the Fourth Proportional to 1,082, 1,621.72 and 619.60

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Solution

The fourth proportional to 1,082, 1,621.72 and 619.60 is: 928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082 : 1,621.72 = 619.60 : x
  2. Step 2: Convert to fraction form
    1,082/1,621.72 = 619.60/x
  3. Step 3: Cross multiply
    1,082x = 1,621.72 × 619.60
  4. Step 4: Simplify right side
    1,082x = 1,004,817.71
  5. Step 5: Solve for x
    x = 1,004,817.71/1,082
  6. Step 6: Final answer
    x = 928.67

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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.