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Finding the Fourth Proportional to 513.63, 708.81 and 280.75

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Solution

The fourth proportional to 513.63, 708.81 and 280.75 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 708.81 = 280.75 : x
  2. Step 2: Convert to fraction form
    513.63/708.81 = 280.75/x
  3. Step 3: Cross multiply
    513.63x = 708.81 × 280.75
  4. Step 4: Simplify right side
    513.63x = 198,998.41
  5. Step 5: Solve for x
    x = 198,998.41/513.63
  6. Step 6: Final answer
    x = 387.44

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Find fourth proportional to 256.82, 354.41 and 140.38
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Double scale
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Similar ratio
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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.