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Finding the Fourth Proportional to 536.66, 743.62 and 525.14

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Solution

The fourth proportional to 536.66, 743.62 and 525.14 is: 727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 743.62 = 525.14 : x
  2. Step 2: Convert to fraction form
    536.66/743.62 = 525.14/x
  3. Step 3: Cross multiply
    536.66x = 743.62 × 525.14
  4. Step 4: Simplify right side
    536.66x = 390,501.98
  5. Step 5: Solve for x
    x = 390,501.98/536.66
  6. Step 6: Final answer
    x = 727.65

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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.