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Finding the Fourth Proportional to 474.49, 712.24 and 419.99

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Solution

The fourth proportional to 474.49, 712.24 and 419.99 is: 630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 712.24 = 419.99 : x
  2. Step 2: Convert to fraction form
    474.49/712.24 = 419.99/x
  3. Step 3: Cross multiply
    474.49x = 712.24 × 419.99
  4. Step 4: Simplify right side
    474.49x = 299,136.87
  5. Step 5: Solve for x
    x = 299,136.87/474.49
  6. Step 6: Final answer
    x = 630.44

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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.