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Finding the Fourth Proportional to 656.64, 906.12 and 423.36

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Solution

The fourth proportional to 656.64, 906.12 and 423.36 is: 584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 906.12 = 423.36 : x
  2. Step 2: Convert to fraction form
    656.64/906.12 = 423.36/x
  3. Step 3: Cross multiply
    656.64x = 906.12 × 423.36
  4. Step 4: Simplify right side
    656.64x = 383,614.96
  5. Step 5: Solve for x
    x = 383,614.96/656.64
  6. Step 6: Final answer
    x = 584.21

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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.