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Finding the Fourth Proportional to 513.84, 769.86 and 357.42

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Solution

The fourth proportional to 513.84, 769.86 and 357.42 is: 535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 769.86 = 357.42 : x
  2. Step 2: Convert to fraction form
    513.84/769.86 = 357.42/x
  3. Step 3: Cross multiply
    513.84x = 769.86 × 357.42
  4. Step 4: Simplify right side
    513.84x = 275,163.36
  5. Step 5: Solve for x
    x = 275,163.36/513.84
  6. Step 6: Final answer
    x = 535.50

Related Problems

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Half scale
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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.