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Finding the Fourth Proportional to 506.29, 755.65 and 440.12

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Solution

The fourth proportional to 506.29, 755.65 and 440.12 is: 656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 755.65 = 440.12 : x
  2. Step 2: Convert to fraction form
    506.29/755.65 = 440.12/x
  3. Step 3: Cross multiply
    506.29x = 755.65 × 440.12
  4. Step 4: Simplify right side
    506.29x = 332,576.68
  5. Step 5: Solve for x
    x = 332,576.68/506.29
  6. Step 6: Final answer
    x = 656.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.