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Finding the Fourth Proportional to 577.89, 867.11 and 317.88

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Solution

The fourth proportional to 577.89, 867.11 and 317.88 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 867.11 = 317.88 : x
  2. Step 2: Convert to fraction form
    577.89/867.11 = 317.88/x
  3. Step 3: Cross multiply
    577.89x = 867.11 × 317.88
  4. Step 4: Simplify right side
    577.89x = 275,635.34
  5. Step 5: Solve for x
    x = 275,635.34/577.89
  6. Step 6: Final answer
    x = 476.97

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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.