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Finding the Fourth Proportional to 849.53, 1,268.14 and 734.71

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Solution

The fourth proportional to 849.53, 1,268.14 and 734.71 is: 1,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.53 : 1,268.14 = 734.71 : x
  2. Step 2: Convert to fraction form
    849.53/1,268.14 = 734.71/x
  3. Step 3: Cross multiply
    849.53x = 1,268.14 × 734.71
  4. Step 4: Simplify right side
    849.53x = 931,715.14
  5. Step 5: Solve for x
    x = 931,715.14/849.53
  6. Step 6: Final answer
    x = 1,096.74

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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.