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Finding the Fourth Proportional to 1,596.27, 2,394.76 and 485.61

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Solution

The fourth proportional to 1,596.27, 2,394.76 and 485.61 is: 728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.27 : 2,394.76 = 485.61 : x
  2. Step 2: Convert to fraction form
    1,596.27/2,394.76 = 485.61/x
  3. Step 3: Cross multiply
    1,596.27x = 2,394.76 × 485.61
  4. Step 4: Simplify right side
    1,596.27x = 1,162,919.40
  5. Step 5: Solve for x
    x = 1,162,919.40/1,596.27
  6. Step 6: Final answer
    x = 728.52

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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.