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Finding the Fourth Proportional to 982.77, 1,474.24 and 252.35

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Solution

The fourth proportional to 982.77, 1,474.24 and 252.35 is: 378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.77 : 1,474.24 = 252.35 : x
  2. Step 2: Convert to fraction form
    982.77/1,474.24 = 252.35/x
  3. Step 3: Cross multiply
    982.77x = 1,474.24 × 252.35
  4. Step 4: Simplify right side
    982.77x = 372,024.46
  5. Step 5: Solve for x
    x = 372,024.46/982.77
  6. Step 6: Final answer
    x = 378.55

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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.