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Finding the Fourth Proportional to 984.72, 1,477.41 and 497.37

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Solution

The fourth proportional to 984.72, 1,477.41 and 497.37 is: 746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.72 : 1,477.41 = 497.37 : x
  2. Step 2: Convert to fraction form
    984.72/1,477.41 = 497.37/x
  3. Step 3: Cross multiply
    984.72x = 1,477.41 × 497.37
  4. Step 4: Simplify right side
    984.72x = 734,819.41
  5. Step 5: Solve for x
    x = 734,819.41/984.72
  6. Step 6: Final answer
    x = 746.22

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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.