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Finding the Fourth Proportional to 712.50, 983.34 and 480.12

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Solution

The fourth proportional to 712.50, 983.34 and 480.12 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 983.34 = 480.12 : x
  2. Step 2: Convert to fraction form
    712.50/983.34 = 480.12/x
  3. Step 3: Cross multiply
    712.50x = 983.34 × 480.12
  4. Step 4: Simplify right side
    712.50x = 472,121.20
  5. Step 5: Solve for x
    x = 472,121.20/712.50
  6. Step 6: Final answer
    x = 662.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.