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Finding the Fourth Proportional to 656.77, 905.96 and 423.89

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Solution

The fourth proportional to 656.77, 905.96 and 423.89 is: 584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.77 : 905.96 = 423.89 : x
  2. Step 2: Convert to fraction form
    656.77/905.96 = 423.89/x
  3. Step 3: Cross multiply
    656.77x = 905.96 × 423.89
  4. Step 4: Simplify right side
    656.77x = 384,025.26
  5. Step 5: Solve for x
    x = 384,025.26/656.77
  6. Step 6: Final answer
    x = 584.72

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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.