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Finding the Fourth Proportional to 488.14, 735.14 and 428.02

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Solution

The fourth proportional to 488.14, 735.14 and 428.02 is: 644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 735.14 = 428.02 : x
  2. Step 2: Convert to fraction form
    488.14/735.14 = 428.02/x
  3. Step 3: Cross multiply
    488.14x = 735.14 × 428.02
  4. Step 4: Simplify right side
    488.14x = 314,654.62
  5. Step 5: Solve for x
    x = 314,654.62/488.14
  6. Step 6: Final answer
    x = 644.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.