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Finding the Fourth Proportional to 513.54, 770.56 and 270.24

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Solution

The fourth proportional to 513.54, 770.56 and 270.24 is: 405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 770.56 = 270.24 : x
  2. Step 2: Convert to fraction form
    513.54/770.56 = 270.24/x
  3. Step 3: Cross multiply
    513.54x = 770.56 × 270.24
  4. Step 4: Simplify right side
    513.54x = 208,234.09
  5. Step 5: Solve for x
    x = 208,234.09/513.54
  6. Step 6: Final answer
    x = 405.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 514.54, 772.06 and 271.24
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.