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Finding the Fourth Proportional to 984.33, 1,476.78 and 497.19

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Solution

The fourth proportional to 984.33, 1,476.78 and 497.19 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.33 : 1,476.78 = 497.19 : x
  2. Step 2: Convert to fraction form
    984.33/1,476.78 = 497.19/x
  3. Step 3: Cross multiply
    984.33x = 1,476.78 × 497.19
  4. Step 4: Simplify right side
    984.33x = 734,240.25
  5. Step 5: Solve for x
    x = 734,240.25/984.33
  6. Step 6: Final answer
    x = 745.93

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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.