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Finding the Fourth Proportional to 744.96, 1,114.62 and 451.38

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Solution

The fourth proportional to 744.96, 1,114.62 and 451.38 is: 675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.96 : 1,114.62 = 451.38 : x
  2. Step 2: Convert to fraction form
    744.96/1,114.62 = 451.38/x
  3. Step 3: Cross multiply
    744.96x = 1,114.62 × 451.38
  4. Step 4: Simplify right side
    744.96x = 503,117.18
  5. Step 5: Solve for x
    x = 503,117.18/744.96
  6. Step 6: Final answer
    x = 675.36

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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.