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Finding the Fourth Proportional to 525, 724.41 and 359.16

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Solution

The fourth proportional to 525, 724.41 and 359.16 is: 495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 724.41 = 359.16 : x
  2. Step 2: Convert to fraction form
    525/724.41 = 359.16/x
  3. Step 3: Cross multiply
    525x = 724.41 × 359.16
  4. Step 4: Simplify right side
    525x = 260,179.10
  5. Step 5: Solve for x
    x = 260,179.10/525
  6. Step 6: Final answer
    x = 495.58

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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.