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Finding the Fourth Proportional to 513.48, 708.36 and 336.44

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Solution

The fourth proportional to 513.48, 708.36 and 336.44 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 708.36 = 336.44 : x
  2. Step 2: Convert to fraction form
    513.48/708.36 = 336.44/x
  3. Step 3: Cross multiply
    513.48x = 708.36 × 336.44
  4. Step 4: Simplify right side
    513.48x = 238,320.64
  5. Step 5: Solve for x
    x = 238,320.64/513.48
  6. Step 6: Final answer
    x = 464.13

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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.