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Finding the Fourth Proportional to 656.56, 910.34 and 637.42

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Solution

The fourth proportional to 656.56, 910.34 and 637.42 is: 883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 910.34 = 637.42 : x
  2. Step 2: Convert to fraction form
    656.56/910.34 = 637.42/x
  3. Step 3: Cross multiply
    656.56x = 910.34 × 637.42
  4. Step 4: Simplify right side
    656.56x = 580,267.56
  5. Step 5: Solve for x
    x = 580,267.56/656.56
  6. Step 6: Final answer
    x = 883.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.