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Finding the Fourth Proportional to 606.94, 911.24 and 314.68

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Solution

The fourth proportional to 606.94, 911.24 and 314.68 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.94 : 911.24 = 314.68 : x
  2. Step 2: Convert to fraction form
    606.94/911.24 = 314.68/x
  3. Step 3: Cross multiply
    606.94x = 911.24 × 314.68
  4. Step 4: Simplify right side
    606.94x = 286,749.00
  5. Step 5: Solve for x
    x = 286,749.00/606.94
  6. Step 6: Final answer
    x = 472.45

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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.