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Finding the Fourth Proportional to 605.45, 833.11 and 587.38

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Solution

The fourth proportional to 605.45, 833.11 and 587.38 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.45 : 833.11 = 587.38 : x
  2. Step 2: Convert to fraction form
    605.45/833.11 = 587.38/x
  3. Step 3: Cross multiply
    605.45x = 833.11 × 587.38
  4. Step 4: Simplify right side
    605.45x = 489,352.99
  5. Step 5: Solve for x
    x = 489,352.99/605.45
  6. Step 6: Final answer
    x = 808.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.