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Finding the Fourth Proportional to 479.67, 714.02 and 457.27

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Solution

The fourth proportional to 479.67, 714.02 and 457.27 is: 680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.67 : 714.02 = 457.27 : x
  2. Step 2: Convert to fraction form
    479.67/714.02 = 457.27/x
  3. Step 3: Cross multiply
    479.67x = 714.02 × 457.27
  4. Step 4: Simplify right side
    479.67x = 326,497.86
  5. Step 5: Solve for x
    x = 326,497.86/479.67
  6. Step 6: Final answer
    x = 680.67

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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.