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Finding the Fourth Proportional to 744.98, 1,028.04 and 450.30

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Solution

The fourth proportional to 744.98, 1,028.04 and 450.30 is: 621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.98 : 1,028.04 = 450.30 : x
  2. Step 2: Convert to fraction form
    744.98/1,028.04 = 450.30/x
  3. Step 3: Cross multiply
    744.98x = 1,028.04 × 450.30
  4. Step 4: Simplify right side
    744.98x = 462,926.41
  5. Step 5: Solve for x
    x = 462,926.41/744.98
  6. Step 6: Final answer
    x = 621.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.