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Finding the Fourth Proportional to 984.76, 1,476.07 and 464.43

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Solution

The fourth proportional to 984.76, 1,476.07 and 464.43 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.76 : 1,476.07 = 464.43 : x
  2. Step 2: Convert to fraction form
    984.76/1,476.07 = 464.43/x
  3. Step 3: Cross multiply
    984.76x = 1,476.07 × 464.43
  4. Step 4: Simplify right side
    984.76x = 685,538.18
  5. Step 5: Solve for x
    x = 685,538.18/984.76
  6. Step 6: Final answer
    x = 696.15

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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.