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Finding the Fourth Proportional to 858.99, 1,185.40 and 485.96

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Solution

The fourth proportional to 858.99, 1,185.40 and 485.96 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.99 : 1,185.40 = 485.96 : x
  2. Step 2: Convert to fraction form
    858.99/1,185.40 = 485.96/x
  3. Step 3: Cross multiply
    858.99x = 1,185.40 × 485.96
  4. Step 4: Simplify right side
    858.99x = 576,049.84
  5. Step 5: Solve for x
    x = 576,049.84/858.99
  6. Step 6: Final answer
    x = 670.62

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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.