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Finding the Fourth Proportional to 2,269.93, 3,405.14 and 709.67

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Solution

The fourth proportional to 2,269.93, 3,405.14 and 709.67 is: 1,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.93 : 3,405.14 = 709.67 : x
  2. Step 2: Convert to fraction form
    2,269.93/3,405.14 = 709.67/x
  3. Step 3: Cross multiply
    2,269.93x = 3,405.14 × 709.67
  4. Step 4: Simplify right side
    2,269.93x = 2,416,525.70
  5. Step 5: Solve for x
    x = 2,416,525.70/2,269.93
  6. Step 6: Final answer
    x = 1,064.58

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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.