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Finding the Fourth Proportional to 591.78, 887.22 and 317.64

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Solution

The fourth proportional to 591.78, 887.22 and 317.64 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.78 : 887.22 = 317.64 : x
  2. Step 2: Convert to fraction form
    591.78/887.22 = 317.64/x
  3. Step 3: Cross multiply
    591.78x = 887.22 × 317.64
  4. Step 4: Simplify right side
    591.78x = 281,816.56
  5. Step 5: Solve for x
    x = 281,816.56/591.78
  6. Step 6: Final answer
    x = 476.22

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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.