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Finding the Fourth Proportional to 739.98, 1,020.09 and 518.22

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Solution

The fourth proportional to 739.98, 1,020.09 and 518.22 is: 714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.98 : 1,020.09 = 518.22 : x
  2. Step 2: Convert to fraction form
    739.98/1,020.09 = 518.22/x
  3. Step 3: Cross multiply
    739.98x = 1,020.09 × 518.22
  4. Step 4: Simplify right side
    739.98x = 528,631.04
  5. Step 5: Solve for x
    x = 528,631.04/739.98
  6. Step 6: Final answer
    x = 714.39

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Double scale
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1.5x scale

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.