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Finding the Fourth Proportional to 492.93, 739.40 and 288.95

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Solution

The fourth proportional to 492.93, 739.40 and 288.95 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 739.40 = 288.95 : x
  2. Step 2: Convert to fraction form
    492.93/739.40 = 288.95/x
  3. Step 3: Cross multiply
    492.93x = 739.40 × 288.95
  4. Step 4: Simplify right side
    492.93x = 213,644.49
  5. Step 5: Solve for x
    x = 213,644.49/492.93
  6. Step 6: Final answer
    x = 433.42

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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.