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Finding the Fourth Proportional to 982.78, 1,356.01 and 563.02

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Solution

The fourth proportional to 982.78, 1,356.01 and 563.02 is: 776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,356.01 = 563.02 : x
  2. Step 2: Convert to fraction form
    982.78/1,356.01 = 563.02/x
  3. Step 3: Cross multiply
    982.78x = 1,356.01 × 563.02
  4. Step 4: Simplify right side
    982.78x = 763,460.75
  5. Step 5: Solve for x
    x = 763,460.75/982.78
  6. Step 6: Final answer
    x = 776.84

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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.