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Finding the Fourth Proportional to 661.12, 912.11 and 412.23

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Solution

The fourth proportional to 661.12, 912.11 and 412.23 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 912.11 = 412.23 : x
  2. Step 2: Convert to fraction form
    661.12/912.11 = 412.23/x
  3. Step 3: Cross multiply
    661.12x = 912.11 × 412.23
  4. Step 4: Simplify right side
    661.12x = 376,000.46
  5. Step 5: Solve for x
    x = 376,000.46/661.12
  6. Step 6: Final answer
    x = 568.73

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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.