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Finding the Fourth Proportional to 492.72, 735.47 and 428.18

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Solution

The fourth proportional to 492.72, 735.47 and 428.18 is: 639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 735.47 = 428.18 : x
  2. Step 2: Convert to fraction form
    492.72/735.47 = 428.18/x
  3. Step 3: Cross multiply
    492.72x = 735.47 × 428.18
  4. Step 4: Simplify right side
    492.72x = 314,907.73
  5. Step 5: Solve for x
    x = 314,907.73/492.72
  6. Step 6: Final answer
    x = 639.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.