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Finding the Fourth Proportional to 739.41, 1,100.37 and 714.80

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Solution

The fourth proportional to 739.41, 1,100.37 and 714.80 is: 1,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.41 : 1,100.37 = 714.80 : x
  2. Step 2: Convert to fraction form
    739.41/1,100.37 = 714.80/x
  3. Step 3: Cross multiply
    739.41x = 1,100.37 × 714.80
  4. Step 4: Simplify right side
    739.41x = 786,538.97
  5. Step 5: Solve for x
    x = 786,538.97/739.41
  6. Step 6: Final answer
    x = 1,063.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.