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Finding the Fourth Proportional to 660.59, 911.71 and 412.18

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Solution

The fourth proportional to 660.59, 911.71 and 412.18 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.59 : 911.71 = 412.18 : x
  2. Step 2: Convert to fraction form
    660.59/911.71 = 412.18/x
  3. Step 3: Cross multiply
    660.59x = 911.71 × 412.18
  4. Step 4: Simplify right side
    660.59x = 375,786.86
  5. Step 5: Solve for x
    x = 375,786.86/660.59
  6. Step 6: Final answer
    x = 568.87

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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.