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Finding the Fourth Proportional to 591.40, 882.55 and 519.41

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Solution

The fourth proportional to 591.40, 882.55 and 519.41 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.40 : 882.55 = 519.41 : x
  2. Step 2: Convert to fraction form
    591.40/882.55 = 519.41/x
  3. Step 3: Cross multiply
    591.40x = 882.55 × 519.41
  4. Step 4: Simplify right side
    591.40x = 458,405.23
  5. Step 5: Solve for x
    x = 458,405.23/591.40
  6. Step 6: Final answer
    x = 775.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.