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Finding the Fourth Proportional to 656.21, 905.43 and 372.64

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Solution

The fourth proportional to 656.21, 905.43 and 372.64 is: 514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.21 : 905.43 = 372.64 : x
  2. Step 2: Convert to fraction form
    656.21/905.43 = 372.64/x
  3. Step 3: Cross multiply
    656.21x = 905.43 × 372.64
  4. Step 4: Simplify right side
    656.21x = 337,397.57
  5. Step 5: Solve for x
    x = 337,397.57/656.21
  6. Step 6: Final answer
    x = 514.16

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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.