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Finding the Fourth Proportional to 577.34, 866.16 and 419.81

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Solution

The fourth proportional to 577.34, 866.16 and 419.81 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 866.16 = 419.81 : x
  2. Step 2: Convert to fraction form
    577.34/866.16 = 419.81/x
  3. Step 3: Cross multiply
    577.34x = 866.16 × 419.81
  4. Step 4: Simplify right side
    577.34x = 363,618.30
  5. Step 5: Solve for x
    x = 363,618.30/577.34
  6. Step 6: Final answer
    x = 629.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.