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Finding the Fourth Proportional to 982.62, 1,475.19 and 612.99

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Solution

The fourth proportional to 982.62, 1,475.19 and 612.99 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,475.19 = 612.99 : x
  2. Step 2: Convert to fraction form
    982.62/1,475.19 = 612.99/x
  3. Step 3: Cross multiply
    982.62x = 1,475.19 × 612.99
  4. Step 4: Simplify right side
    982.62x = 904,276.72
  5. Step 5: Solve for x
    x = 904,276.72/982.62
  6. Step 6: Final answer
    x = 920.27

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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.