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Finding the Fourth Proportional to 450.70, 620.83 and 428.83

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Solution

The fourth proportional to 450.70, 620.83 and 428.83 is: 590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.70 : 620.83 = 428.83 : x
  2. Step 2: Convert to fraction form
    450.70/620.83 = 428.83/x
  3. Step 3: Cross multiply
    450.70x = 620.83 × 428.83
  4. Step 4: Simplify right side
    450.70x = 266,230.53
  5. Step 5: Solve for x
    x = 266,230.53/450.70
  6. Step 6: Final answer
    x = 590.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.