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Finding the Fourth Proportional to 660.90, 911.43 and 412.13

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Solution

The fourth proportional to 660.90, 911.43 and 412.13 is: 568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.90 : 911.43 = 412.13 : x
  2. Step 2: Convert to fraction form
    660.90/911.43 = 412.13/x
  3. Step 3: Cross multiply
    660.90x = 911.43 × 412.13
  4. Step 4: Simplify right side
    660.90x = 375,623.09
  5. Step 5: Solve for x
    x = 375,623.09/660.90
  6. Step 6: Final answer
    x = 568.35

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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.