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Finding the Fourth Proportional to 591.41, 885.59 and 385.37

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Solution

The fourth proportional to 591.41, 885.59 and 385.37 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.41 : 885.59 = 385.37 : x
  2. Step 2: Convert to fraction form
    591.41/885.59 = 385.37/x
  3. Step 3: Cross multiply
    591.41x = 885.59 × 385.37
  4. Step 4: Simplify right side
    591.41x = 341,279.82
  5. Step 5: Solve for x
    x = 341,279.82/591.41
  6. Step 6: Final answer
    x = 577.06

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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.