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Finding the Fourth Proportional to 1,358.56, 2,036.43 and 628.62

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Solution

The fourth proportional to 1,358.56, 2,036.43 and 628.62 is: 942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.56 : 2,036.43 = 628.62 : x
  2. Step 2: Convert to fraction form
    1,358.56/2,036.43 = 628.62/x
  3. Step 3: Cross multiply
    1,358.56x = 2,036.43 × 628.62
  4. Step 4: Simplify right side
    1,358.56x = 1,280,140.63
  5. Step 5: Solve for x
    x = 1,280,140.63/1,358.56
  6. Step 6: Final answer
    x = 942.28

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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.