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Finding the Fourth Proportional to 744.17, 1,114.81 and 397.39

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Solution

The fourth proportional to 744.17, 1,114.81 and 397.39 is: 595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.17 : 1,114.81 = 397.39 : x
  2. Step 2: Convert to fraction form
    744.17/1,114.81 = 397.39/x
  3. Step 3: Cross multiply
    744.17x = 1,114.81 × 397.39
  4. Step 4: Simplify right side
    744.17x = 443,010.57
  5. Step 5: Solve for x
    x = 443,010.57/744.17
  6. Step 6: Final answer
    x = 595.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.