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Finding the Fourth Proportional to 739.63, 1,021.51 and 682.22

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Solution

The fourth proportional to 739.63, 1,021.51 and 682.22 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,021.51 = 682.22 : x
  2. Step 2: Convert to fraction form
    739.63/1,021.51 = 682.22/x
  3. Step 3: Cross multiply
    739.63x = 1,021.51 × 682.22
  4. Step 4: Simplify right side
    739.63x = 696,897.96
  5. Step 5: Solve for x
    x = 696,897.96/739.63
  6. Step 6: Final answer
    x = 942.22

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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.