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Finding the Fourth Proportional to 984.36, 1,476.90 and 471

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Solution

The fourth proportional to 984.36, 1,476.90 and 471 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.36 : 1,476.90 = 471 : x
  2. Step 2: Convert to fraction form
    984.36/1,476.90 = 471/x
  3. Step 3: Cross multiply
    984.36x = 1,476.90 × 471
  4. Step 4: Simplify right side
    984.36x = 695,619.90
  5. Step 5: Solve for x
    x = 695,619.90/984.36
  6. Step 6: Final answer
    x = 706.67

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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.