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Finding the Fourth Proportional to 656.14, 905.40 and 372.59

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Solution

The fourth proportional to 656.14, 905.40 and 372.59 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 905.40 = 372.59 : x
  2. Step 2: Convert to fraction form
    656.14/905.40 = 372.59/x
  3. Step 3: Cross multiply
    656.14x = 905.40 × 372.59
  4. Step 4: Simplify right side
    656.14x = 337,342.99
  5. Step 5: Solve for x
    x = 337,342.99/656.14
  6. Step 6: Final answer
    x = 514.13

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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.