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Finding the Fourth Proportional to 1,205.65, 1,806.96 and 648.99

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Solution

The fourth proportional to 1,205.65, 1,806.96 and 648.99 is: 972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.65 : 1,806.96 = 648.99 : x
  2. Step 2: Convert to fraction form
    1,205.65/1,806.96 = 648.99/x
  3. Step 3: Cross multiply
    1,205.65x = 1,806.96 × 648.99
  4. Step 4: Simplify right side
    1,205.65x = 1,172,698.97
  5. Step 5: Solve for x
    x = 1,172,698.97/1,205.65
  6. Step 6: Final answer
    x = 972.67

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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.