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Finding the Fourth Proportional to 660.51, 911.94 and 412.20

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Solution

The fourth proportional to 660.51, 911.94 and 412.20 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.51 : 911.94 = 412.20 : x
  2. Step 2: Convert to fraction form
    660.51/911.94 = 412.20/x
  3. Step 3: Cross multiply
    660.51x = 911.94 × 412.20
  4. Step 4: Simplify right side
    660.51x = 375,901.67
  5. Step 5: Solve for x
    x = 375,901.67/660.51
  6. Step 6: Final answer
    x = 569.11

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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.