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Finding the Fourth Proportional to 605.76, 912.36 and 538.08

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Solution

The fourth proportional to 605.76, 912.36 and 538.08 is: 810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 912.36 = 538.08 : x
  2. Step 2: Convert to fraction form
    605.76/912.36 = 538.08/x
  3. Step 3: Cross multiply
    605.76x = 912.36 × 538.08
  4. Step 4: Simplify right side
    605.76x = 490,922.67
  5. Step 5: Solve for x
    x = 490,922.67/605.76
  6. Step 6: Final answer
    x = 810.42

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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.