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Finding the Fourth Proportional to 605.07, 908.82 and 590.49

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Solution

The fourth proportional to 605.07, 908.82 and 590.49 is: 886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 908.82 = 590.49 : x
  2. Step 2: Convert to fraction form
    605.07/908.82 = 590.49/x
  3. Step 3: Cross multiply
    605.07x = 908.82 × 590.49
  4. Step 4: Simplify right side
    605.07x = 536,649.12
  5. Step 5: Solve for x
    x = 536,649.12/605.07
  6. Step 6: Final answer
    x = 886.92

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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.