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Finding the Fourth Proportional to 513.49, 770.23 and 294.18

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Solution

The fourth proportional to 513.49, 770.23 and 294.18 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.49 : 770.23 = 294.18 : x
  2. Step 2: Convert to fraction form
    513.49/770.23 = 294.18/x
  3. Step 3: Cross multiply
    513.49x = 770.23 × 294.18
  4. Step 4: Simplify right side
    513.49x = 226,586.26
  5. Step 5: Solve for x
    x = 226,586.26/513.49
  6. Step 6: Final answer
    x = 441.27

Related Problems

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Half scale
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Double scale
Find fourth proportional to 514.49, 771.73 and 295.18
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.