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Finding the Fourth Proportional to 506.30, 758.90 and 289.49

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Solution

The fourth proportional to 506.30, 758.90 and 289.49 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.30 : 758.90 = 289.49 : x
  2. Step 2: Convert to fraction form
    506.30/758.90 = 289.49/x
  3. Step 3: Cross multiply
    506.30x = 758.90 × 289.49
  4. Step 4: Simplify right side
    506.30x = 219,688.72
  5. Step 5: Solve for x
    x = 219,688.72/506.30
  6. Step 6: Final answer
    x = 433.91

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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.