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Finding the Fourth Proportional to 656.66, 905.80 and 423.78

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Solution

The fourth proportional to 656.66, 905.80 and 423.78 is: 584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.66 : 905.80 = 423.78 : x
  2. Step 2: Convert to fraction form
    656.66/905.80 = 423.78/x
  3. Step 3: Cross multiply
    656.66x = 905.80 × 423.78
  4. Step 4: Simplify right side
    656.66x = 383,859.92
  5. Step 5: Solve for x
    x = 383,859.92/656.66
  6. Step 6: Final answer
    x = 584.57

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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.