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Finding the Fourth Proportional to 525.48, 724.40 and 359.43

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Solution

The fourth proportional to 525.48, 724.40 and 359.43 is: 495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 724.40 = 359.43 : x
  2. Step 2: Convert to fraction form
    525.48/724.40 = 359.43/x
  3. Step 3: Cross multiply
    525.48x = 724.40 × 359.43
  4. Step 4: Simplify right side
    525.48x = 260,371.09
  5. Step 5: Solve for x
    x = 260,371.09/525.48
  6. Step 6: Final answer
    x = 495.49

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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.