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Finding the Fourth Proportional to 656.11, 905.41 and 407.44

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Solution

The fourth proportional to 656.11, 905.41 and 407.44 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.11 : 905.41 = 407.44 : x
  2. Step 2: Convert to fraction form
    656.11/905.41 = 407.44/x
  3. Step 3: Cross multiply
    656.11x = 905.41 × 407.44
  4. Step 4: Simplify right side
    656.11x = 368,900.25
  5. Step 5: Solve for x
    x = 368,900.25/656.11
  6. Step 6: Final answer
    x = 562.25

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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.