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Finding the Fourth Proportional to 734.26, 1,012.70 and 439.48

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Solution

The fourth proportional to 734.26, 1,012.70 and 439.48 is: 606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,012.70 = 439.48 : x
  2. Step 2: Convert to fraction form
    734.26/1,012.70 = 439.48/x
  3. Step 3: Cross multiply
    734.26x = 1,012.70 × 439.48
  4. Step 4: Simplify right side
    734.26x = 445,061.40
  5. Step 5: Solve for x
    x = 445,061.40/734.26
  6. Step 6: Final answer
    x = 606.14

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