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Finding the Fourth Proportional to 982.60, 1,474.68 and 435.16

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Solution

The fourth proportional to 982.60, 1,474.68 and 435.16 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.60 : 1,474.68 = 435.16 : x
  2. Step 2: Convert to fraction form
    982.60/1,474.68 = 435.16/x
  3. Step 3: Cross multiply
    982.60x = 1,474.68 × 435.16
  4. Step 4: Simplify right side
    982.60x = 641,721.75
  5. Step 5: Solve for x
    x = 641,721.75/982.60
  6. Step 6: Final answer
    x = 653.09

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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.