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Finding the Fourth Proportional to 492.55, 738.57 and 319.30

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Solution

The fourth proportional to 492.55, 738.57 and 319.30 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.55 : 738.57 = 319.30 : x
  2. Step 2: Convert to fraction form
    492.55/738.57 = 319.30/x
  3. Step 3: Cross multiply
    492.55x = 738.57 × 319.30
  4. Step 4: Simplify right side
    492.55x = 235,825.40
  5. Step 5: Solve for x
    x = 235,825.40/492.55
  6. Step 6: Final answer
    x = 478.78

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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.