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Finding the Fourth Proportional to 525.25, 724.89 and 289.24

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Solution

The fourth proportional to 525.25, 724.89 and 289.24 is: 399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.25 : 724.89 = 289.24 : x
  2. Step 2: Convert to fraction form
    525.25/724.89 = 289.24/x
  3. Step 3: Cross multiply
    525.25x = 724.89 × 289.24
  4. Step 4: Simplify right side
    525.25x = 209,667.01
  5. Step 5: Solve for x
    x = 209,667.01/525.25
  6. Step 6: Final answer
    x = 399.18

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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.