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Finding the Fourth Proportional to 563.56, 839.64 and 536.02

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Solution

The fourth proportional to 563.56, 839.64 and 536.02 is: 798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 839.64 = 536.02 : x
  2. Step 2: Convert to fraction form
    563.56/839.64 = 536.02/x
  3. Step 3: Cross multiply
    563.56x = 839.64 × 536.02
  4. Step 4: Simplify right side
    563.56x = 450,063.83
  5. Step 5: Solve for x
    x = 450,063.83/563.56
  6. Step 6: Final answer
    x = 798.61

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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.