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Finding the Fourth Proportional to 516.35, 773.62 and 430.23

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Solution

The fourth proportional to 516.35, 773.62 and 430.23 is: 644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.35 : 773.62 = 430.23 : x
  2. Step 2: Convert to fraction form
    516.35/773.62 = 430.23/x
  3. Step 3: Cross multiply
    516.35x = 773.62 × 430.23
  4. Step 4: Simplify right side
    516.35x = 332,834.53
  5. Step 5: Solve for x
    x = 332,834.53/516.35
  6. Step 6: Final answer
    x = 644.59

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Double scale
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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.