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Finding the Fourth Proportional to 982.30, 1,355.76 and 609.43

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Solution

The fourth proportional to 982.30, 1,355.76 and 609.43 is: 841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.30 : 1,355.76 = 609.43 : x
  2. Step 2: Convert to fraction form
    982.30/1,355.76 = 609.43/x
  3. Step 3: Cross multiply
    982.30x = 1,355.76 × 609.43
  4. Step 4: Simplify right side
    982.30x = 826,240.82
  5. Step 5: Solve for x
    x = 826,240.82/982.30
  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.