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Finding the Fourth Proportional to 577.88, 867.02 and 193.12

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Solution

The fourth proportional to 577.88, 867.02 and 193.12 is: 289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.88 : 867.02 = 193.12 : x
  2. Step 2: Convert to fraction form
    577.88/867.02 = 193.12/x
  3. Step 3: Cross multiply
    577.88x = 867.02 × 193.12
  4. Step 4: Simplify right side
    577.88x = 167,438.90
  5. Step 5: Solve for x
    x = 167,438.90/577.88
  6. Step 6: Final answer
    x = 289.75

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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.