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Finding the Fourth Proportional to 773.03, 1,158.79 and 494.53

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Solution

The fourth proportional to 773.03, 1,158.79 and 494.53 is: 741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.03 : 1,158.79 = 494.53 : x
  2. Step 2: Convert to fraction form
    773.03/1,158.79 = 494.53/x
  3. Step 3: Cross multiply
    773.03x = 1,158.79 × 494.53
  4. Step 4: Simplify right side
    773.03x = 573,056.42
  5. Step 5: Solve for x
    x = 573,056.42/773.03
  6. Step 6: Final answer
    x = 741.31

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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.