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Finding the Fourth Proportional to 492.62, 739.07 and 286.81

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Solution

The fourth proportional to 492.62, 739.07 and 286.81 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 739.07 = 286.81 : x
  2. Step 2: Convert to fraction form
    492.62/739.07 = 286.81/x
  3. Step 3: Cross multiply
    492.62x = 739.07 × 286.81
  4. Step 4: Simplify right side
    492.62x = 211,972.67
  5. Step 5: Solve for x
    x = 211,972.67/492.62
  6. Step 6: Final answer
    x = 430.30

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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.