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Finding the Fourth Proportional to 1,649, 2,473.22 and 1,160.58

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Solution

The fourth proportional to 1,649, 2,473.22 and 1,160.58 is: 1,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 2,473.22 = 1,160.58 : x
  2. Step 2: Convert to fraction form
    1,649/2,473.22 = 1,160.58/x
  3. Step 3: Cross multiply
    1,649x = 2,473.22 × 1,160.58
  4. Step 4: Simplify right side
    1,649x = 2,870,369.67
  5. Step 5: Solve for x
    x = 2,870,369.67/1,649
  6. Step 6: Final answer
    x = 1,740.67

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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.