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Finding the Fourth Proportional to 536.46, 800.40 and 512.52

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Solution

The fourth proportional to 536.46, 800.40 and 512.52 is: 764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 800.40 = 512.52 : x
  2. Step 2: Convert to fraction form
    536.46/800.40 = 512.52/x
  3. Step 3: Cross multiply
    536.46x = 800.40 × 512.52
  4. Step 4: Simplify right side
    536.46x = 410,221.01
  5. Step 5: Solve for x
    x = 410,221.01/536.46
  6. Step 6: Final answer
    x = 764.68

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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.