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Finding the Fourth Proportional to 525.96, 727.14 and 443.08

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Solution

The fourth proportional to 525.96, 727.14 and 443.08 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 727.14 = 443.08 : x
  2. Step 2: Convert to fraction form
    525.96/727.14 = 443.08/x
  3. Step 3: Cross multiply
    525.96x = 727.14 × 443.08
  4. Step 4: Simplify right side
    525.96x = 322,181.19
  5. Step 5: Solve for x
    x = 322,181.19/525.96
  6. Step 6: Final answer
    x = 612.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.