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Finding the Fourth Proportional to 638.34, 953.19 and 506.87

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Solution

The fourth proportional to 638.34, 953.19 and 506.87 is: 756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.34 : 953.19 = 506.87 : x
  2. Step 2: Convert to fraction form
    638.34/953.19 = 506.87/x
  3. Step 3: Cross multiply
    638.34x = 953.19 × 506.87
  4. Step 4: Simplify right side
    638.34x = 483,136.12
  5. Step 5: Solve for x
    x = 483,136.12/638.34
  6. Step 6: Final answer
    x = 756.86

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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.