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Finding the Fourth Proportional to 739.03, 1,020.07 and 518.03

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Solution

The fourth proportional to 739.03, 1,020.07 and 518.03 is: 715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.03 : 1,020.07 = 518.03 : x
  2. Step 2: Convert to fraction form
    739.03/1,020.07 = 518.03/x
  3. Step 3: Cross multiply
    739.03x = 1,020.07 × 518.03
  4. Step 4: Simplify right side
    739.03x = 528,425.57
  5. Step 5: Solve for x
    x = 528,425.57/739.03
  6. Step 6: Final answer
    x = 715.03

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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.