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Finding the Fourth Proportional to 982.60, 1,355.89 and 563.05

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Solution

The fourth proportional to 982.60, 1,355.89 and 563.05 is: 776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.60 : 1,355.89 = 563.05 : x
  2. Step 2: Convert to fraction form
    982.60/1,355.89 = 563.05/x
  3. Step 3: Cross multiply
    982.60x = 1,355.89 × 563.05
  4. Step 4: Simplify right side
    982.60x = 763,433.86
  5. Step 5: Solve for x
    x = 763,433.86/982.60
  6. Step 6: Final answer
    x = 776.95

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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.