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Finding the Fourth Proportional to 1,381.05, 2,070.36 and 764.64

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Solution

The fourth proportional to 1,381.05, 2,070.36 and 764.64 is: 1,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.05 : 2,070.36 = 764.64 : x
  2. Step 2: Convert to fraction form
    1,381.05/2,070.36 = 764.64/x
  3. Step 3: Cross multiply
    1,381.05x = 2,070.36 × 764.64
  4. Step 4: Simplify right side
    1,381.05x = 1,583,080.07
  5. Step 5: Solve for x
    x = 1,583,080.07/1,381.05
  6. Step 6: Final answer
    x = 1,146.29

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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.