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Finding the Fourth Proportional to 982.98, 1,474.98 and 435.54

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Solution

The fourth proportional to 982.98, 1,474.98 and 435.54 is: 653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.98 : 1,474.98 = 435.54 : x
  2. Step 2: Convert to fraction form
    982.98/1,474.98 = 435.54/x
  3. Step 3: Cross multiply
    982.98x = 1,474.98 × 435.54
  4. Step 4: Simplify right side
    982.98x = 642,412.79
  5. Step 5: Solve for x
    x = 642,412.79/982.98
  6. Step 6: Final answer
    x = 653.54

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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.