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Finding the Fourth Proportional to 805.91, 1,206.83 and 675.59

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Solution

The fourth proportional to 805.91, 1,206.83 and 675.59 is: 1,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.91 : 1,206.83 = 675.59 : x
  2. Step 2: Convert to fraction form
    805.91/1,206.83 = 675.59/x
  3. Step 3: Cross multiply
    805.91x = 1,206.83 × 675.59
  4. Step 4: Simplify right side
    805.91x = 815,312.87
  5. Step 5: Solve for x
    x = 815,312.87/805.91
  6. Step 6: Final answer
    x = 1,011.67

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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.