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Finding the Fourth Proportional to 506.90, 694.99 and 500.67

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Solution

The fourth proportional to 506.90, 694.99 and 500.67 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 694.99 = 500.67 : x
  2. Step 2: Convert to fraction form
    506.90/694.99 = 500.67/x
  3. Step 3: Cross multiply
    506.90x = 694.99 × 500.67
  4. Step 4: Simplify right side
    506.90x = 347,958.14
  5. Step 5: Solve for x
    x = 347,958.14/506.90
  6. Step 6: Final answer
    x = 686.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.