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Finding the Fourth Proportional to 984.97, 1,477.97 and 437.54

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Solution

The fourth proportional to 984.97, 1,477.97 and 437.54 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.97 : 1,477.97 = 437.54 : x
  2. Step 2: Convert to fraction form
    984.97/1,477.97 = 437.54/x
  3. Step 3: Cross multiply
    984.97x = 1,477.97 × 437.54
  4. Step 4: Simplify right side
    984.97x = 646,668.81
  5. Step 5: Solve for x
    x = 646,668.81/984.97
  6. Step 6: Final answer
    x = 656.54

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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.