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Finding the Fourth Proportional to 419.74, 630.62 and 343.19

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Solution

The fourth proportional to 419.74, 630.62 and 343.19 is: 515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 630.62 = 343.19 : x
  2. Step 2: Convert to fraction form
    419.74/630.62 = 343.19/x
  3. Step 3: Cross multiply
    419.74x = 630.62 × 343.19
  4. Step 4: Simplify right side
    419.74x = 216,424.91
  5. Step 5: Solve for x
    x = 216,424.91/419.74
  6. Step 6: Final answer
    x = 515.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.