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Finding the Fourth Proportional to 536.76, 736.80 and 513.12

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Solution

The fourth proportional to 536.76, 736.80 and 513.12 is: 704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 736.80 = 513.12 : x
  2. Step 2: Convert to fraction form
    536.76/736.80 = 513.12/x
  3. Step 3: Cross multiply
    536.76x = 736.80 × 513.12
  4. Step 4: Simplify right side
    536.76x = 378,066.82
  5. Step 5: Solve for x
    x = 378,066.82/536.76
  6. Step 6: Final answer
    x = 704.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.