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Finding the Fourth Proportional to 536.85, 743.64 and 525.92

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Solution

The fourth proportional to 536.85, 743.64 and 525.92 is: 728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 743.64 = 525.92 : x
  2. Step 2: Convert to fraction form
    536.85/743.64 = 525.92/x
  3. Step 3: Cross multiply
    536.85x = 743.64 × 525.92
  4. Step 4: Simplify right side
    536.85x = 391,091.43
  5. Step 5: Solve for x
    x = 391,091.43/536.85
  6. Step 6: Final answer
    x = 728.49

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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.