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Finding the Fourth Proportional to 1,494.44, 2,239.38 and 628.28

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Solution

The fourth proportional to 1,494.44, 2,239.38 and 628.28 is: 941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.44 : 2,239.38 = 628.28 : x
  2. Step 2: Convert to fraction form
    1,494.44/2,239.38 = 628.28/x
  3. Step 3: Cross multiply
    1,494.44x = 2,239.38 × 628.28
  4. Step 4: Simplify right side
    1,494.44x = 1,406,957.67
  5. Step 5: Solve for x
    x = 1,406,957.67/1,494.44
  6. Step 6: Final answer
    x = 941.46

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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.