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Finding the Fourth Proportional to 506.05, 696.53 and 422.21

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Solution

The fourth proportional to 506.05, 696.53 and 422.21 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.05 : 696.53 = 422.21 : x
  2. Step 2: Convert to fraction form
    506.05/696.53 = 422.21/x
  3. Step 3: Cross multiply
    506.05x = 696.53 × 422.21
  4. Step 4: Simplify right side
    506.05x = 294,084.73
  5. Step 5: Solve for x
    x = 294,084.73/506.05
  6. Step 6: Final answer
    x = 581.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.