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Finding the Fourth Proportional to 982.54, 1,474.71 and 617.98

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Solution

The fourth proportional to 982.54, 1,474.71 and 617.98 is: 927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.54 : 1,474.71 = 617.98 : x
  2. Step 2: Convert to fraction form
    982.54/1,474.71 = 617.98/x
  3. Step 3: Cross multiply
    982.54x = 1,474.71 × 617.98
  4. Step 4: Simplify right side
    982.54x = 911,341.29
  5. Step 5: Solve for x
    x = 911,341.29/982.54
  6. Step 6: Final answer
    x = 927.54

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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.