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Finding the Fourth Proportional to 1,282.36, 1,923 and 732.64

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Solution

The fourth proportional to 1,282.36, 1,923 and 732.64 is: 1,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.36 : 1,923 = 732.64 : x
  2. Step 2: Convert to fraction form
    1,282.36/1,923 = 732.64/x
  3. Step 3: Cross multiply
    1,282.36x = 1,923 × 732.64
  4. Step 4: Simplify right side
    1,282.36x = 1,408,866.72
  5. Step 5: Solve for x
    x = 1,408,866.72/1,282.36
  6. Step 6: Final answer
    x = 1,098.65

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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.