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Finding the Fourth Proportional to 605.76, 913.92 and 575.39

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Solution

The fourth proportional to 605.76, 913.92 and 575.39 is: 868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 913.92 = 575.39 : x
  2. Step 2: Convert to fraction form
    605.76/913.92 = 575.39/x
  3. Step 3: Cross multiply
    605.76x = 913.92 × 575.39
  4. Step 4: Simplify right side
    605.76x = 525,855.86
  5. Step 5: Solve for x
    x = 525,855.86/605.76
  6. Step 6: Final answer
    x = 868.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.