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Finding the Fourth Proportional to 984.26, 1,476.09 and 407

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Solution

The fourth proportional to 984.26, 1,476.09 and 407 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.26 : 1,476.09 = 407 : x
  2. Step 2: Convert to fraction form
    984.26/1,476.09 = 407/x
  3. Step 3: Cross multiply
    984.26x = 1,476.09 × 407
  4. Step 4: Simplify right side
    984.26x = 600,768.63
  5. Step 5: Solve for x
    x = 600,768.63/984.26
  6. Step 6: Final answer
    x = 610.38

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1.5x scale

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.