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Finding the Fourth Proportional to 499.60, 745.61 and 484.48

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Solution

The fourth proportional to 499.60, 745.61 and 484.48 is: 723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.60 : 745.61 = 484.48 : x
  2. Step 2: Convert to fraction form
    499.60/745.61 = 484.48/x
  3. Step 3: Cross multiply
    499.60x = 745.61 × 484.48
  4. Step 4: Simplify right side
    499.60x = 361,233.13
  5. Step 5: Solve for x
    x = 361,233.13/499.60
  6. Step 6: Final answer
    x = 723.04

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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.