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Finding the Fourth Proportional to 669.24, 1,005.75 and 395.46

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Solution

The fourth proportional to 669.24, 1,005.75 and 395.46 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.24 : 1,005.75 = 395.46 : x
  2. Step 2: Convert to fraction form
    669.24/1,005.75 = 395.46/x
  3. Step 3: Cross multiply
    669.24x = 1,005.75 × 395.46
  4. Step 4: Simplify right side
    669.24x = 397,733.90
  5. Step 5: Solve for x
    x = 397,733.90/669.24
  6. Step 6: Final answer
    x = 594.31

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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.