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Finding the Fourth Proportional to 577.93, 866.89 and 145.09

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Solution

The fourth proportional to 577.93, 866.89 and 145.09 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.93 : 866.89 = 145.09 : x
  2. Step 2: Convert to fraction form
    577.93/866.89 = 145.09/x
  3. Step 3: Cross multiply
    577.93x = 866.89 × 145.09
  4. Step 4: Simplify right side
    577.93x = 125,776.17
  5. Step 5: Solve for x
    x = 125,776.17/577.93
  6. Step 6: Final answer
    x = 217.63

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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.