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Finding the Fourth Proportional to 858.53, 1,288.41 and 487.96

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Solution

The fourth proportional to 858.53, 1,288.41 and 487.96 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.53 : 1,288.41 = 487.96 : x
  2. Step 2: Convert to fraction form
    858.53/1,288.41 = 487.96/x
  3. Step 3: Cross multiply
    858.53x = 1,288.41 × 487.96
  4. Step 4: Simplify right side
    858.53x = 628,687.49
  5. Step 5: Solve for x
    x = 628,687.49/858.53
  6. Step 6: Final answer
    x = 732.28

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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.