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Finding the Fourth Proportional to 656.97, 906.54 and 377.13

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Solution

The fourth proportional to 656.97, 906.54 and 377.13 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 906.54 = 377.13 : x
  2. Step 2: Convert to fraction form
    656.97/906.54 = 377.13/x
  3. Step 3: Cross multiply
    656.97x = 906.54 × 377.13
  4. Step 4: Simplify right side
    656.97x = 341,883.43
  5. Step 5: Solve for x
    x = 341,883.43/656.97
  6. Step 6: Final answer
    x = 520.39

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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.