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Finding the Fourth Proportional to 419.70, 620.76 and 419.70

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Solution

The fourth proportional to 419.70, 620.76 and 419.70 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.70 : 620.76 = 419.70 : x
  2. Step 2: Convert to fraction form
    419.70/620.76 = 419.70/x
  3. Step 3: Cross multiply
    419.70x = 620.76 × 419.70
  4. Step 4: Simplify right side
    419.70x = 260,532.97
  5. Step 5: Solve for x
    x = 260,532.97/419.70
  6. Step 6: Final answer
    x = 620.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.