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Finding the Fourth Proportional to 523.13, 721.67 and 336.55

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Solution

The fourth proportional to 523.13, 721.67 and 336.55 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 721.67 = 336.55 : x
  2. Step 2: Convert to fraction form
    523.13/721.67 = 336.55/x
  3. Step 3: Cross multiply
    523.13x = 721.67 × 336.55
  4. Step 4: Simplify right side
    523.13x = 242,875.90
  5. Step 5: Solve for x
    x = 242,875.90/523.13
  6. Step 6: Final answer
    x = 464.28

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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.