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Finding the Fourth Proportional to 605.46, 912.36 and 499.62

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Solution

The fourth proportional to 605.46, 912.36 and 499.62 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 912.36 = 499.62 : x
  2. Step 2: Convert to fraction form
    605.46/912.36 = 499.62/x
  3. Step 3: Cross multiply
    605.46x = 912.36 × 499.62
  4. Step 4: Simplify right side
    605.46x = 455,833.30
  5. Step 5: Solve for x
    x = 455,833.30/605.46
  6. Step 6: Final answer
    x = 752.87

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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.