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Finding the Fourth Proportional to 857.65, 1,285.41 and 446.56

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Solution

The fourth proportional to 857.65, 1,285.41 and 446.56 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.65 : 1,285.41 = 446.56 : x
  2. Step 2: Convert to fraction form
    857.65/1,285.41 = 446.56/x
  3. Step 3: Cross multiply
    857.65x = 1,285.41 × 446.56
  4. Step 4: Simplify right side
    857.65x = 574,012.69
  5. Step 5: Solve for x
    x = 574,012.69/857.65
  6. Step 6: Final answer
    x = 669.29

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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.