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Finding the Fourth Proportional to 863.47, 1,288.94 and 739.54

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Solution

The fourth proportional to 863.47, 1,288.94 and 739.54 is: 1,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.47 : 1,288.94 = 739.54 : x
  2. Step 2: Convert to fraction form
    863.47/1,288.94 = 739.54/x
  3. Step 3: Cross multiply
    863.47x = 1,288.94 × 739.54
  4. Step 4: Simplify right side
    863.47x = 953,222.69
  5. Step 5: Solve for x
    x = 953,222.69/863.47
  6. Step 6: Final answer
    x = 1,103.94

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1.5x scale

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.