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Finding the Fourth Proportional to 1,358.23, 2,038.02 and 627.97

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Solution

The fourth proportional to 1,358.23, 2,038.02 and 627.97 is: 942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.23 : 2,038.02 = 627.97 : x
  2. Step 2: Convert to fraction form
    1,358.23/2,038.02 = 627.97/x
  3. Step 3: Cross multiply
    1,358.23x = 2,038.02 × 627.97
  4. Step 4: Simplify right side
    1,358.23x = 1,279,815.42
  5. Step 5: Solve for x
    x = 1,279,815.42/1,358.23
  6. Step 6: Final answer
    x = 942.27

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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.