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Finding the Fourth Proportional to 525.55, 725.23 and 289.46

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Solution

The fourth proportional to 525.55, 725.23 and 289.46 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 725.23 = 289.46 : x
  2. Step 2: Convert to fraction form
    525.55/725.23 = 289.46/x
  3. Step 3: Cross multiply
    525.55x = 725.23 × 289.46
  4. Step 4: Simplify right side
    525.55x = 209,922.66
  5. Step 5: Solve for x
    x = 209,922.66/525.55
  6. Step 6: Final answer
    x = 399.43

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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.