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Finding the Fourth Proportional to 525.05, 721.53 and 500.96

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Solution

The fourth proportional to 525.05, 721.53 and 500.96 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.05 : 721.53 = 500.96 : x
  2. Step 2: Convert to fraction form
    525.05/721.53 = 500.96/x
  3. Step 3: Cross multiply
    525.05x = 721.53 × 500.96
  4. Step 4: Simplify right side
    525.05x = 361,459.47
  5. Step 5: Solve for x
    x = 361,459.47/525.05
  6. Step 6: Final answer
    x = 688.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.