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Finding the Fourth Proportional to 602.83, 902.62 and 499.76

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Solution

The fourth proportional to 602.83, 902.62 and 499.76 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.83 : 902.62 = 499.76 : x
  2. Step 2: Convert to fraction form
    602.83/902.62 = 499.76/x
  3. Step 3: Cross multiply
    602.83x = 902.62 × 499.76
  4. Step 4: Simplify right side
    602.83x = 451,093.37
  5. Step 5: Solve for x
    x = 451,093.37/602.83
  6. Step 6: Final answer
    x = 748.29

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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.