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Finding the Fourth Proportional to 714.44, 985.92 and 452.67

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Solution

The fourth proportional to 714.44, 985.92 and 452.67 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.44 : 985.92 = 452.67 : x
  2. Step 2: Convert to fraction form
    714.44/985.92 = 452.67/x
  3. Step 3: Cross multiply
    714.44x = 985.92 × 452.67
  4. Step 4: Simplify right side
    714.44x = 446,296.41
  5. Step 5: Solve for x
    x = 446,296.41/714.44
  6. Step 6: Final answer
    x = 624.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.