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Finding the Fourth Proportional to 739.63, 1,020.83 and 440.93

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Solution

The fourth proportional to 739.63, 1,020.83 and 440.93 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,020.83 = 440.93 : x
  2. Step 2: Convert to fraction form
    739.63/1,020.83 = 440.93/x
  3. Step 3: Cross multiply
    739.63x = 1,020.83 × 440.93
  4. Step 4: Simplify right side
    739.63x = 450,114.57
  5. Step 5: Solve for x
    x = 450,114.57/739.63
  6. Step 6: Final answer
    x = 608.57

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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.