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Finding the Fourth Proportional to 419.85, 577.80 and 345.60

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Solution

The fourth proportional to 419.85, 577.80 and 345.60 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.85 : 577.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    419.85/577.80 = 345.60/x
  3. Step 3: Cross multiply
    419.85x = 577.80 × 345.60
  4. Step 4: Simplify right side
    419.85x = 199,687.68
  5. Step 5: Solve for x
    x = 199,687.68/419.85
  6. Step 6: Final answer
    x = 475.62

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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.