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Finding the Fourth Proportional to 493.88, 740.33 and 320.66

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Solution

The fourth proportional to 493.88, 740.33 and 320.66 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.88 : 740.33 = 320.66 : x
  2. Step 2: Convert to fraction form
    493.88/740.33 = 320.66/x
  3. Step 3: Cross multiply
    493.88x = 740.33 × 320.66
  4. Step 4: Simplify right side
    493.88x = 237,392.61
  5. Step 5: Solve for x
    x = 237,392.61/493.88
  6. Step 6: Final answer
    x = 480.67

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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.