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Finding the Fourth Proportional to 984.24, 1,476.80 and 497.44

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Solution

The fourth proportional to 984.24, 1,476.80 and 497.44 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.24 : 1,476.80 = 497.44 : x
  2. Step 2: Convert to fraction form
    984.24/1,476.80 = 497.44/x
  3. Step 3: Cross multiply
    984.24x = 1,476.80 × 497.44
  4. Step 4: Simplify right side
    984.24x = 734,619.39
  5. Step 5: Solve for x
    x = 734,619.39/984.24
  6. Step 6: Final answer
    x = 746.38

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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.