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Finding the Fourth Proportional to 983.94, 1,476.75 and 522.04

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Solution

The fourth proportional to 983.94, 1,476.75 and 522.04 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.94 : 1,476.75 = 522.04 : x
  2. Step 2: Convert to fraction form
    983.94/1,476.75 = 522.04/x
  3. Step 3: Cross multiply
    983.94x = 1,476.75 × 522.04
  4. Step 4: Simplify right side
    983.94x = 770,922.57
  5. Step 5: Solve for x
    x = 770,922.57/983.94
  6. Step 6: Final answer
    x = 783.51

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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.