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Finding the Fourth Proportional to 452.61, 673.95 and 447.72

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Solution

The fourth proportional to 452.61, 673.95 and 447.72 is: 666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.61 : 673.95 = 447.72 : x
  2. Step 2: Convert to fraction form
    452.61/673.95 = 447.72/x
  3. Step 3: Cross multiply
    452.61x = 673.95 × 447.72
  4. Step 4: Simplify right side
    452.61x = 301,740.89
  5. Step 5: Solve for x
    x = 301,740.89/452.61
  6. Step 6: Final answer
    x = 666.67

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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.