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Finding the Fourth Proportional to 419.40, 557.37 and 419.40

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Solution

The fourth proportional to 419.40, 557.37 and 419.40 is: 557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.40 : 557.37 = 419.40 : x
  2. Step 2: Convert to fraction form
    419.40/557.37 = 419.40/x
  3. Step 3: Cross multiply
    419.40x = 557.37 × 419.40
  4. Step 4: Simplify right side
    419.40x = 233,760.98
  5. Step 5: Solve for x
    x = 233,760.98/419.40
  6. Step 6: Final answer
    x = 557.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.