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Finding the Fourth Proportional to 1,280.33, 1,923.09 and 988.39

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Solution

The fourth proportional to 1,280.33, 1,923.09 and 988.39 is: 1,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.33 : 1,923.09 = 988.39 : x
  2. Step 2: Convert to fraction form
    1,280.33/1,923.09 = 988.39/x
  3. Step 3: Cross multiply
    1,280.33x = 1,923.09 × 988.39
  4. Step 4: Simplify right side
    1,280.33x = 1,900,762.93
  5. Step 5: Solve for x
    x = 1,900,762.93/1,280.33
  6. Step 6: Final answer
    x = 1,484.59

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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.