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Finding the Fourth Proportional to 516.79, 775.20 and 224.23

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Solution

The fourth proportional to 516.79, 775.20 and 224.23 is: 336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.79 : 775.20 = 224.23 : x
  2. Step 2: Convert to fraction form
    516.79/775.20 = 224.23/x
  3. Step 3: Cross multiply
    516.79x = 775.20 × 224.23
  4. Step 4: Simplify right side
    516.79x = 173,823.10
  5. Step 5: Solve for x
    x = 173,823.10/516.79
  6. Step 6: Final answer
    x = 336.35

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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.