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Finding the Fourth Proportional to 984.69, 1,478.09 and 437.33

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Solution

The fourth proportional to 984.69, 1,478.09 and 437.33 is: 656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.69 : 1,478.09 = 437.33 : x
  2. Step 2: Convert to fraction form
    984.69/1,478.09 = 437.33/x
  3. Step 3: Cross multiply
    984.69x = 1,478.09 × 437.33
  4. Step 4: Simplify right side
    984.69x = 646,403.52
  5. Step 5: Solve for x
    x = 646,403.52/984.69
  6. Step 6: Final answer
    x = 656.45

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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.