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Finding the Fourth Proportional to 579.45, 864.97 and 536.63

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Solution

The fourth proportional to 579.45, 864.97 and 536.63 is: 801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 864.97 = 536.63 : x
  2. Step 2: Convert to fraction form
    579.45/864.97 = 536.63/x
  3. Step 3: Cross multiply
    579.45x = 864.97 × 536.63
  4. Step 4: Simplify right side
    579.45x = 464,163.42
  5. Step 5: Solve for x
    x = 464,163.42/579.45
  6. Step 6: Final answer
    x = 801.04

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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.