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Finding the Fourth Proportional to 1,283, 1,923.36 and 734.40

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Solution

The fourth proportional to 1,283, 1,923.36 and 734.40 is: 1,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283 : 1,923.36 = 734.40 : x
  2. Step 2: Convert to fraction form
    1,283/1,923.36 = 734.40/x
  3. Step 3: Cross multiply
    1,283x = 1,923.36 × 734.40
  4. Step 4: Simplify right side
    1,283x = 1,412,515.58
  5. Step 5: Solve for x
    x = 1,412,515.58/1,283
  6. Step 6: Final answer
    x = 1,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.