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Finding the Fourth Proportional to 536.03, 743.14 and 517.00

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Solution

The fourth proportional to 536.03, 743.14 and 517.00 is: 716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.03 : 743.14 = 517.00 : x
  2. Step 2: Convert to fraction form
    536.03/743.14 = 517.00/x
  3. Step 3: Cross multiply
    536.03x = 743.14 × 517.00
  4. Step 4: Simplify right side
    536.03x = 384,203.84
  5. Step 5: Solve for x
    x = 384,203.84/536.03
  6. Step 6: Final answer
    x = 716.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.