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Finding the Fourth Proportional to 1,405.93, 2,106.55 and 960.55

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Solution

The fourth proportional to 1,405.93, 2,106.55 and 960.55 is: 1,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.93 : 2,106.55 = 960.55 : x
  2. Step 2: Convert to fraction form
    1,405.93/2,106.55 = 960.55/x
  3. Step 3: Cross multiply
    1,405.93x = 2,106.55 × 960.55
  4. Step 4: Simplify right side
    1,405.93x = 2,023,446.60
  5. Step 5: Solve for x
    x = 2,023,446.60/1,405.93
  6. Step 6: Final answer
    x = 1,439.22

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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.