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Finding the Fourth Proportional to 493.40, 735.62 and 480.58

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Solution

The fourth proportional to 493.40, 735.62 and 480.58 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.40 : 735.62 = 480.58 : x
  2. Step 2: Convert to fraction form
    493.40/735.62 = 480.58/x
  3. Step 3: Cross multiply
    493.40x = 735.62 × 480.58
  4. Step 4: Simplify right side
    493.40x = 353,524.26
  5. Step 5: Solve for x
    x = 353,524.26/493.40
  6. Step 6: Final answer
    x = 716.51

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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.