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Finding the Fourth Proportional to 606.93, 911.16 and 505.46

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Solution

The fourth proportional to 606.93, 911.16 and 505.46 is: 758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.93 : 911.16 = 505.46 : x
  2. Step 2: Convert to fraction form
    606.93/911.16 = 505.46/x
  3. Step 3: Cross multiply
    606.93x = 911.16 × 505.46
  4. Step 4: Simplify right side
    606.93x = 460,554.93
  5. Step 5: Solve for x
    x = 460,554.93/606.93
  6. Step 6: Final answer
    x = 758.83

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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.