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Finding the Fourth Proportional to 492.50, 738.52 and 287.13

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Solution

The fourth proportional to 492.50, 738.52 and 287.13 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 738.52 = 287.13 : x
  2. Step 2: Convert to fraction form
    492.50/738.52 = 287.13/x
  3. Step 3: Cross multiply
    492.50x = 738.52 × 287.13
  4. Step 4: Simplify right side
    492.50x = 212,049.81
  5. Step 5: Solve for x
    x = 212,049.81/492.50
  6. Step 6: Final answer
    x = 430.56

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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.