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Finding the Fourth Proportional to 982.36, 1,355.75 and 562.85

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Solution

The fourth proportional to 982.36, 1,355.75 and 562.85 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.36 : 1,355.75 = 562.85 : x
  2. Step 2: Convert to fraction form
    982.36/1,355.75 = 562.85/x
  3. Step 3: Cross multiply
    982.36x = 1,355.75 × 562.85
  4. Step 4: Simplify right side
    982.36x = 763,078.52
  5. Step 5: Solve for x
    x = 763,078.52/982.36
  6. Step 6: Final answer
    x = 776.78

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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.