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Finding the Fourth Proportional to 563.12, 838.28 and 536.56

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Solution

The fourth proportional to 563.12, 838.28 and 536.56 is: 798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 838.28 = 536.56 : x
  2. Step 2: Convert to fraction form
    563.12/838.28 = 536.56/x
  3. Step 3: Cross multiply
    563.12x = 838.28 × 536.56
  4. Step 4: Simplify right side
    563.12x = 449,787.52
  5. Step 5: Solve for x
    x = 449,787.52/563.12
  6. Step 6: Final answer
    x = 798.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.