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Finding the Fourth Proportional to 982.86, 1,356.19 and 609.85

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Solution

The fourth proportional to 982.86, 1,356.19 and 609.85 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,356.19 = 609.85 : x
  2. Step 2: Convert to fraction form
    982.86/1,356.19 = 609.85/x
  3. Step 3: Cross multiply
    982.86x = 1,356.19 × 609.85
  4. Step 4: Simplify right side
    982.86x = 827,072.47
  5. Step 5: Solve for x
    x = 827,072.47/982.86
  6. Step 6: Final answer
    x = 841.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.