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Finding the Fourth Proportional to 525.54, 725.23 and 289.48

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Solution

The fourth proportional to 525.54, 725.23 and 289.48 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 725.23 = 289.48 : x
  2. Step 2: Convert to fraction form
    525.54/725.23 = 289.48/x
  3. Step 3: Cross multiply
    525.54x = 725.23 × 289.48
  4. Step 4: Simplify right side
    525.54x = 209,939.58
  5. Step 5: Solve for x
    x = 209,939.58/525.54
  6. Step 6: Final answer
    x = 399.47

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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.