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Finding the Fourth Proportional to 785.23, 1,082.91 and 490.53

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Solution

The fourth proportional to 785.23, 1,082.91 and 490.53 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,082.91 = 490.53 : x
  2. Step 2: Convert to fraction form
    785.23/1,082.91 = 490.53/x
  3. Step 3: Cross multiply
    785.23x = 1,082.91 × 490.53
  4. Step 4: Simplify right side
    785.23x = 531,199.84
  5. Step 5: Solve for x
    x = 531,199.84/785.23
  6. Step 6: Final answer
    x = 676.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.