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Finding the Fourth Proportional to 419.04, 579.12 and 397.20

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Solution

The fourth proportional to 419.04, 579.12 and 397.20 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 579.12 = 397.20 : x
  2. Step 2: Convert to fraction form
    419.04/579.12 = 397.20/x
  3. Step 3: Cross multiply
    419.04x = 579.12 × 397.20
  4. Step 4: Simplify right side
    419.04x = 230,026.46
  5. Step 5: Solve for x
    x = 230,026.46/419.04
  6. Step 6: Final answer
    x = 548.94

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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.