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Finding the Fourth Proportional to 602.23, 902.67 and 486.94

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Solution

The fourth proportional to 602.23, 902.67 and 486.94 is: 729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.23 : 902.67 = 486.94 : x
  2. Step 2: Convert to fraction form
    602.23/902.67 = 486.94/x
  3. Step 3: Cross multiply
    602.23x = 902.67 × 486.94
  4. Step 4: Simplify right side
    602.23x = 439,546.13
  5. Step 5: Solve for x
    x = 439,546.13/602.23
  6. Step 6: Final answer
    x = 729.86

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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.