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Finding the Fourth Proportional to 492.59, 683.27 and 480.44

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Solution

The fourth proportional to 492.59, 683.27 and 480.44 is: 666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.59 : 683.27 = 480.44 : x
  2. Step 2: Convert to fraction form
    492.59/683.27 = 480.44/x
  3. Step 3: Cross multiply
    492.59x = 683.27 × 480.44
  4. Step 4: Simplify right side
    492.59x = 328,264.42
  5. Step 5: Solve for x
    x = 328,264.42/492.59
  6. Step 6: Final answer
    x = 666.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.