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Finding the Fourth Proportional to 525.08, 725.64 and 431.68

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Solution

The fourth proportional to 525.08, 725.64 and 431.68 is: 596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.08 : 725.64 = 431.68 : x
  2. Step 2: Convert to fraction form
    525.08/725.64 = 431.68/x
  3. Step 3: Cross multiply
    525.08x = 725.64 × 431.68
  4. Step 4: Simplify right side
    525.08x = 313,244.28
  5. Step 5: Solve for x
    x = 313,244.28/525.08
  6. Step 6: Final answer
    x = 596.56

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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.