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Finding the Fourth Proportional to 744.68, 1,123.01 and 739.82

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Solution

The fourth proportional to 744.68, 1,123.01 and 739.82 is: 1,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.68 : 1,123.01 = 739.82 : x
  2. Step 2: Convert to fraction form
    744.68/1,123.01 = 739.82/x
  3. Step 3: Cross multiply
    744.68x = 1,123.01 × 739.82
  4. Step 4: Simplify right side
    744.68x = 830,815.94
  5. Step 5: Solve for x
    x = 830,815.94/744.68
  6. Step 6: Final answer
    x = 1,115.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.