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Finding the Fourth Proportional to 645.71, 966.92 and 425.67

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Solution

The fourth proportional to 645.71, 966.92 and 425.67 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 966.92 = 425.67 : x
  2. Step 2: Convert to fraction form
    645.71/966.92 = 425.67/x
  3. Step 3: Cross multiply
    645.71x = 966.92 × 425.67
  4. Step 4: Simplify right side
    645.71x = 411,583.08
  5. Step 5: Solve for x
    x = 411,583.08/645.71
  6. Step 6: Final answer
    x = 637.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.