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Finding the Fourth Proportional to 523.52, 723.06 and 336.98

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Solution

The fourth proportional to 523.52, 723.06 and 336.98 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 723.06 = 336.98 : x
  2. Step 2: Convert to fraction form
    523.52/723.06 = 336.98/x
  3. Step 3: Cross multiply
    523.52x = 723.06 × 336.98
  4. Step 4: Simplify right side
    523.52x = 243,656.76
  5. Step 5: Solve for x
    x = 243,656.76/523.52
  6. Step 6: Final answer
    x = 465.42

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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.