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Finding the Fourth Proportional to 852.00, 1,277.99 and 389.65

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Solution

The fourth proportional to 852.00, 1,277.99 and 389.65 is: 584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.00 : 1,277.99 = 389.65 : x
  2. Step 2: Convert to fraction form
    852.00/1,277.99 = 389.65/x
  3. Step 3: Cross multiply
    852.00x = 1,277.99 × 389.65
  4. Step 4: Simplify right side
    852.00x = 497,968.80
  5. Step 5: Solve for x
    x = 497,968.80/852.00
  6. Step 6: Final answer
    x = 584.47

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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.