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Finding the Fourth Proportional to 513.86, 770.77 and 167.19

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Solution

The fourth proportional to 513.86, 770.77 and 167.19 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 770.77 = 167.19 : x
  2. Step 2: Convert to fraction form
    513.86/770.77 = 167.19/x
  3. Step 3: Cross multiply
    513.86x = 770.77 × 167.19
  4. Step 4: Simplify right side
    513.86x = 128,865.04
  5. Step 5: Solve for x
    x = 128,865.04/513.86
  6. Step 6: Final answer
    x = 250.78

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.