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Finding the Fourth Proportional to 513.48, 708.16 and 338.76

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Solution

The fourth proportional to 513.48, 708.16 and 338.76 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 708.16 = 338.76 : x
  2. Step 2: Convert to fraction form
    513.48/708.16 = 338.76/x
  3. Step 3: Cross multiply
    513.48x = 708.16 × 338.76
  4. Step 4: Simplify right side
    513.48x = 239,896.28
  5. Step 5: Solve for x
    x = 239,896.28/513.48
  6. Step 6: Final answer
    x = 467.20

Related Problems

Find fourth proportional to 256.74, 354.08 and 169.38
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Double scale
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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.