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Finding the Fourth Proportional to 492.71, 739.02 and 288.74

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Solution

The fourth proportional to 492.71, 739.02 and 288.74 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.71 : 739.02 = 288.74 : x
  2. Step 2: Convert to fraction form
    492.71/739.02 = 288.74/x
  3. Step 3: Cross multiply
    492.71x = 739.02 × 288.74
  4. Step 4: Simplify right side
    492.71x = 213,380.94
  5. Step 5: Solve for x
    x = 213,380.94/492.71
  6. Step 6: Final answer
    x = 433.08

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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.