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Finding the Fourth Proportional to 773.22, 1,158 and 407.50

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Solution

The fourth proportional to 773.22, 1,158 and 407.50 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.22 : 1,158 = 407.50 : x
  2. Step 2: Convert to fraction form
    773.22/1,158 = 407.50/x
  3. Step 3: Cross multiply
    773.22x = 1,158 × 407.50
  4. Step 4: Simplify right side
    773.22x = 471,885
  5. Step 5: Solve for x
    x = 471,885/773.22
  6. Step 6: Final answer
    x = 610.29

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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.