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Finding the Fourth Proportional to 493.35, 736.10 and 488.56

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Solution

The fourth proportional to 493.35, 736.10 and 488.56 is: 728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.35 : 736.10 = 488.56 : x
  2. Step 2: Convert to fraction form
    493.35/736.10 = 488.56/x
  3. Step 3: Cross multiply
    493.35x = 736.10 × 488.56
  4. Step 4: Simplify right side
    493.35x = 359,629.02
  5. Step 5: Solve for x
    x = 359,629.02/493.35
  6. Step 6: Final answer
    x = 728.95

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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.