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Finding the Fourth Proportional to 655.28, 982 and 563.55

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Solution

The fourth proportional to 655.28, 982 and 563.55 is: 844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.28 : 982 = 563.55 : x
  2. Step 2: Convert to fraction form
    655.28/982 = 563.55/x
  3. Step 3: Cross multiply
    655.28x = 982 × 563.55
  4. Step 4: Simplify right side
    655.28x = 553,406.10
  5. Step 5: Solve for x
    x = 553,406.10/655.28
  6. Step 6: Final answer
    x = 844.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.