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Finding the Fourth Proportional to 513.48, 769.56 and 294.12

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Solution

The fourth proportional to 513.48, 769.56 and 294.12 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 769.56 = 294.12 : x
  2. Step 2: Convert to fraction form
    513.48/769.56 = 294.12/x
  3. Step 3: Cross multiply
    513.48x = 769.56 × 294.12
  4. Step 4: Simplify right side
    513.48x = 226,342.99
  5. Step 5: Solve for x
    x = 226,342.99/513.48
  6. Step 6: Final answer
    x = 440.80

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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.