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Finding the Fourth Proportional to 773.31, 1,064.57 and 669.83

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Solution

The fourth proportional to 773.31, 1,064.57 and 669.83 is: 922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.31 : 1,064.57 = 669.83 : x
  2. Step 2: Convert to fraction form
    773.31/1,064.57 = 669.83/x
  3. Step 3: Cross multiply
    773.31x = 1,064.57 × 669.83
  4. Step 4: Simplify right side
    773.31x = 713,080.24
  5. Step 5: Solve for x
    x = 713,080.24/773.31
  6. Step 6: Final answer
    x = 922.11

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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.