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Finding the Fourth Proportional to 1,405.96, 2,109.85 and 757.15

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Solution

The fourth proportional to 1,405.96, 2,109.85 and 757.15 is: 1,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.96 : 2,109.85 = 757.15 : x
  2. Step 2: Convert to fraction form
    1,405.96/2,109.85 = 757.15/x
  3. Step 3: Cross multiply
    1,405.96x = 2,109.85 × 757.15
  4. Step 4: Simplify right side
    1,405.96x = 1,597,465.76
  5. Step 5: Solve for x
    x = 1,597,465.76/1,405.96
  6. Step 6: Final answer
    x = 1,136.21

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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.