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Finding the Fourth Proportional to 419.66, 577.88 and 345.85

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Solution

The fourth proportional to 419.66, 577.88 and 345.85 is: 476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.66 : 577.88 = 345.85 : x
  2. Step 2: Convert to fraction form
    419.66/577.88 = 345.85/x
  3. Step 3: Cross multiply
    419.66x = 577.88 × 345.85
  4. Step 4: Simplify right side
    419.66x = 199,860.09
  5. Step 5: Solve for x
    x = 199,860.09/419.66
  6. Step 6: Final answer
    x = 476.24

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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.