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Finding the Fourth Proportional to 638.84, 956.57 and 345.89

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Solution

The fourth proportional to 638.84, 956.57 and 345.89 is: 517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.84 : 956.57 = 345.89 : x
  2. Step 2: Convert to fraction form
    638.84/956.57 = 345.89/x
  3. Step 3: Cross multiply
    638.84x = 956.57 × 345.89
  4. Step 4: Simplify right side
    638.84x = 330,861.49
  5. Step 5: Solve for x
    x = 330,861.49/638.84
  6. Step 6: Final answer
    x = 517.91

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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.