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Finding the Fourth Proportional to 419.00, 577.05 and 409.91

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Solution

The fourth proportional to 419.00, 577.05 and 409.91 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.00 : 577.05 = 409.91 : x
  2. Step 2: Convert to fraction form
    419.00/577.05 = 409.91/x
  3. Step 3: Cross multiply
    419.00x = 577.05 × 409.91
  4. Step 4: Simplify right side
    419.00x = 236,539.91
  5. Step 5: Solve for x
    x = 236,539.91/419.00
  6. Step 6: Final answer
    x = 564.54

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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.