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Finding the Fourth Proportional to 984.44, 1,476.65 and 436.47

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Solution

The fourth proportional to 984.44, 1,476.65 and 436.47 is: 654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,476.65 = 436.47 : x
  2. Step 2: Convert to fraction form
    984.44/1,476.65 = 436.47/x
  3. Step 3: Cross multiply
    984.44x = 1,476.65 × 436.47
  4. Step 4: Simplify right side
    984.44x = 644,513.43
  5. Step 5: Solve for x
    x = 644,513.43/984.44
  6. Step 6: Final answer
    x = 654.70

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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.