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Finding the Fourth Proportional to 536.19, 798.92 and 512.60

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Solution

The fourth proportional to 536.19, 798.92 and 512.60 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.19 : 798.92 = 512.60 : x
  2. Step 2: Convert to fraction form
    536.19/798.92 = 512.60/x
  3. Step 3: Cross multiply
    536.19x = 798.92 × 512.60
  4. Step 4: Simplify right side
    536.19x = 409,519.83
  5. Step 5: Solve for x
    x = 409,519.83/536.19
  6. Step 6: Final answer
    x = 763.76

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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.