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Finding the Fourth Proportional to 492.95, 739.18 and 287.57

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Solution

The fourth proportional to 492.95, 739.18 and 287.57 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 739.18 = 287.57 : x
  2. Step 2: Convert to fraction form
    492.95/739.18 = 287.57/x
  3. Step 3: Cross multiply
    492.95x = 739.18 × 287.57
  4. Step 4: Simplify right side
    492.95x = 212,564.55
  5. Step 5: Solve for x
    x = 212,564.55/492.95
  6. Step 6: Final answer
    x = 431.21

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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.