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Finding the Fourth Proportional to 982.59, 1,356.05 and 609.48

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Solution

The fourth proportional to 982.59, 1,356.05 and 609.48 is: 841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.59 : 1,356.05 = 609.48 : x
  2. Step 2: Convert to fraction form
    982.59/1,356.05 = 609.48/x
  3. Step 3: Cross multiply
    982.59x = 1,356.05 × 609.48
  4. Step 4: Simplify right side
    982.59x = 826,485.35
  5. Step 5: Solve for x
    x = 826,485.35/982.59
  6. Step 6: Final answer
    x = 841.13

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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.