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Finding the Fourth Proportional to 591.95, 887.41 and 383.80

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Solution

The fourth proportional to 591.95, 887.41 and 383.80 is: 575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.95 : 887.41 = 383.80 : x
  2. Step 2: Convert to fraction form
    591.95/887.41 = 383.80/x
  3. Step 3: Cross multiply
    591.95x = 887.41 × 383.80
  4. Step 4: Simplify right side
    591.95x = 340,587.96
  5. Step 5: Solve for x
    x = 340,587.96/591.95
  6. Step 6: Final answer
    x = 575.37

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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.