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Finding the Fourth Proportional to 656.38, 905.77 and 604.14

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Solution

The fourth proportional to 656.38, 905.77 and 604.14 is: 833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 905.77 = 604.14 : x
  2. Step 2: Convert to fraction form
    656.38/905.77 = 604.14/x
  3. Step 3: Cross multiply
    656.38x = 905.77 × 604.14
  4. Step 4: Simplify right side
    656.38x = 547,211.89
  5. Step 5: Solve for x
    x = 547,211.89/656.38
  6. Step 6: Final answer
    x = 833.68

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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.