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Finding the Fourth Proportional to 506.50, 756.82 and 402.70

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Solution

The fourth proportional to 506.50, 756.82 and 402.70 is: 601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 756.82 = 402.70 : x
  2. Step 2: Convert to fraction form
    506.50/756.82 = 402.70/x
  3. Step 3: Cross multiply
    506.50x = 756.82 × 402.70
  4. Step 4: Simplify right side
    506.50x = 304,771.41
  5. Step 5: Solve for x
    x = 304,771.41/506.50
  6. Step 6: Final answer
    x = 601.72

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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.