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Finding the Fourth Proportional to 632.85, 951.12 and 428.67

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Solution

The fourth proportional to 632.85, 951.12 and 428.67 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.85 : 951.12 = 428.67 : x
  2. Step 2: Convert to fraction form
    632.85/951.12 = 428.67/x
  3. Step 3: Cross multiply
    632.85x = 951.12 × 428.67
  4. Step 4: Simplify right side
    632.85x = 407,716.61
  5. Step 5: Solve for x
    x = 407,716.61/632.85
  6. Step 6: Final answer
    x = 644.25

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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.